Solve for a 5*(2.8*a-1.75)=7*(2*a-1.25)

Math
5⋅(2.8⋅a-1.75)=7⋅(2⋅a-1.25)
Simplify 5⋅(2.8⋅a-1.75).
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Apply the distributive property.
5(2.8a)+5⋅-1.75=7⋅(2⋅a-1.25)
Multiply.
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Multiply 2.8 by 5.
14a+5⋅-1.75=7⋅(2⋅a-1.25)
Multiply 5 by -1.75.
14a-8.75=7⋅(2⋅a-1.25)
14a-8.75=7⋅(2⋅a-1.25)
14a-8.75=7⋅(2⋅a-1.25)
Simplify 7⋅(2⋅a-1.25).
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Apply the distributive property.
14a-8.75=7(2a)+7⋅-1.25
Multiply.
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Multiply 2 by 7.
14a-8.75=14a+7⋅-1.25
Multiply 7 by -1.25.
14a-8.75=14a-8.75
14a-8.75=14a-8.75
14a-8.75=14a-8.75
Move all terms containing a to the left side of the equation.
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Subtract 14a from both sides of the equation.
14a-8.75-14a=-8.75
Subtract 14a from 14a.
0a-8.75=-8.75
Multiply 0 by a.
0-8.75=-8.75
Subtract 8.75 from 0.
-8.75=-8.75
-8.75=-8.75
Since -8.75=-8.75, the equation will always be true for any value of a.
All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
(-∞,∞)
Solve for a 5*(2.8*a-1.75)=7*(2*a-1.25)

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