-7(1-4*x)=13(2*x-3)

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Solution for -7(1-4*x)=13(2*x-3) equation: 


Simplifying
-7(1 + -4x) = 13(2x + -3)
(1 * -7 + -4x * -7) = 13(2x + -3)
(-7 + 28x) = 13(2x + -3)

Reorder the terms:
-7 + 28x = 13(-3 + 2x)
-7 + 28x = (-3 * 13 + 2x * 13)
-7 + 28x = (-39 + 26x)

Solving
-7 + 28x = -39 + 26x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-26x' to each side of the equation.
-7 + 28x + -26x = -39 + 26x + -26x

Combine like terms: 28x + -26x = 2x
-7 + 2x = -39 + 26x + -26x

Combine like terms: 26x + -26x = 0
-7 + 2x = -39 + 0
-7 + 2x = -39

Add '7' to each side of the equation.
-7 + 7 + 2x = -39 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -39 + 7
2x = -39 + 7

Combine like terms: -39 + 7 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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