Solve for a 2a=(3a-11)/5

Math
2a=3a-115
Move all terms containing a to the left side of the equation.
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Subtract 3a-115 from both sides of the equation.
2a-3a-115=0
To write 2a as a fraction with a common denominator, multiply by 55.
2a⋅55-3a-115=0
Combine 2a and 55.
2a⋅55-3a-115=0
Combine the numerators over the common denominator.
2a⋅5-(3a-11)5=0
Simplify the numerator.
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Multiply 5 by 2.
10a-(3a-11)5=0
Apply the distributive property.
10a-(3a)–115=0
Multiply 3 by -1.
10a-3a–115=0
Multiply -1 by -11.
10a-3a+115=0
Subtract 3a from 10a.
7a+115=0
7a+115=0
7a+115=0
Multiply both sides of the equation by 5.
7a+11=0⋅(5)
Remove parentheses.
7a+11=0⋅(5)
Multiply 0 by 5.
7a+11=0
Subtract 11 from both sides of the equation.
7a=-11
Divide each term by 7 and simplify.
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Divide each term in 7a=-11 by 7.
7a7=-117
Cancel the common factor of 7.
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Cancel the common factor.
7a7=-117
Divide a by 1.
a=-117
a=-117
Move the negative in front of the fraction.
a=-117
a=-117
The result can be shown in multiple forms.
Exact Form:
a=-117
Decimal Form:
a=-1.571428‾
Mixed Number Form:
a=-147
Solve for a 2a=(3a-11)/5

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