Solve for x
x=\frac{9}{10}=0.9
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\left(4x-7\right)\times 4=\left(7x-8\right)\times 8
Variable x cannot be equal to any of the values \frac{8}{7},\frac{7}{4} since division by zero is not defined. Multiply both sides of the equation by \left(4x-7\right)\left(7x-8\right), the least common multiple of 7x-8,4x-7.
16x-28=\left(7x-8\right)\times 8
Use the distributive property to multiply 4x-7 by 4.
16x-28=56x-64
Use the distributive property to multiply 7x-8 by 8.
16x-28-56x=-64
Subtract 56x from both sides.
-40x-28=-64
Combine 16x and -56x to get -40x.
-40x=-64+28
Add 28 to both sides.
-40x=-36
Add -64 and 28 to get -36.
x=\frac{-36}{-40}
Divide both sides by -40.
x=\frac{9}{10}
Reduce the fraction \frac{-36}{-40} to lowest terms by extracting and canceling out -4.
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