# Solve for x 5/2x-(2/5-1/4x)=5/4x+1/10 52x-(25-14x)=54x+110
Simplify 52x-(25-14x).
Simplify each term.
Combine 52 and x.
5×2-(25-14x)=54x+110
Combine x and 14.
5×2-(25-x4)=54x+110
Apply the distributive property.
5×2-25–x4=54x+110
Multiply –x4.
Multiply -1 by -1.
5×2-25+1×4=54x+110
Multiply x4 by 1.
5×2-25+x4=54x+110
5×2-25+x4=54x+110
5×2-25+x4=54x+110
To write 5×2 as a fraction with a common denominator, multiply by 22.
5×2⋅22+x4-25=54x+110
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
Multiply 5×2 and 22.
5x⋅22⋅2+x4-25=54x+110
Multiply 2 by 2.
5x⋅24+x4-25=54x+110
5x⋅24+x4-25=54x+110
Combine the numerators over the common denominator.
5x⋅2+x4-25=54x+110
Simplify each term.
Simplify the numerator.
Factor x out of 5x⋅2+x.
Factor x out of 5x⋅2.
x(5⋅2)+x4-25=54x+110
Raise x to the power of 1.
x(5⋅2)+x14-25=54x+110
Factor x out of x1.
x(5⋅2)+x⋅14-25=54x+110
Factor x out of x(5⋅2)+x⋅1.
x(5⋅2+1)4-25=54x+110
x(5⋅2+1)4-25=54x+110
Multiply 5 by 2.
x(10+1)4-25=54x+110
x⋅114-25=54x+110
x⋅114-25=54x+110
Move 11 to the left of x.
11×4-25=54x+110
11×4-25=54x+110
11×4-25=54x+110
Combine 54 and x.
11×4-25=5×4+110
Move all terms containing x to the left side of the equation.
Subtract 5×4 from both sides of the equation.
11×4-25-5×4=110
Combine fractions with similar denominators.
11x-5×4+-25=110
Subtract 5x from 11x.
6×4+-25=110
Reduce the expression 6×4 by cancelling the common factors.
Factor 2 out of 6x.
2(3x)4+-25=110
Factor 2 out of 4.
2(3x)2(2)+-25=110
Cancel the common factor.
2(3x)2⋅2+-25=110
Rewrite the expression.
3×2+-25=110
3×2+-25=110
Move the negative in front of the fraction.
3×2-25=110
3×2-25=110
Move all terms not containing x to the right side of the equation.
Add 25 to both sides of the equation.
3×2=110+25
To write 25 as a fraction with a common denominator, multiply by 22.
3×2=110+25⋅22
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Multiply 25 and 22.
3×2=110+2⋅25⋅2
Multiply 5 by 2.
3×2=110+2⋅210
3×2=110+2⋅210
Combine the numerators over the common denominator.
3×2=1+2⋅210
Simplify the numerator.
Multiply 2 by 2.
3×2=1+410
3×2=510
3×2=510
Cancel the common factor of 5 and 10.
Factor 5 out of 5.
3×2=5(1)10
Cancel the common factors.
Factor 5 out of 10.
3×2=5⋅15⋅2
Cancel the common factor.
3×2=5⋅15⋅2
Rewrite the expression.
3×2=12
3×2=12
3×2=12
3×2=12
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
3x=1
Divide each term by 3 and simplify.
Divide each term in 3x=1 by 3.
3×3=13
Cancel the common factor of 3.
Cancel the common factor.
3×3=13
Divide x by 1.
x=13
x=13
x=13
The result can be shown in multiple forms.
Exact Form:
x=13
Decimal Form:
x=0.3‾
Solve for x 5/2x-(2/5-1/4x)=5/4x+1/10

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