5(1x-7)=2(2-2x)-3

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Solution for 5(1x-7)=2(2-2x)-3 equation:


Simplifying
5(1x + -7) = 2(2 + -2x) + -3

Reorder the terms:
5(-7 + 1x) = 2(2 + -2x) + -3
(-7 * 5 + 1x * 5) = 2(2 + -2x) + -3
(-35 + 5x) = 2(2 + -2x) + -3
-35 + 5x = (2 * 2 + -2x * 2) + -3
-35 + 5x = (4 + -4x) + -3

Reorder the terms:
-35 + 5x = 4 + -3 + -4x

Combine like terms: 4 + -3 = 1
-35 + 5x = 1 + -4x

Solving
-35 + 5x = 1 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-35 + 5x + 4x = 1 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-35 + 9x = 1 + -4x + 4x

Combine like terms: -4x + 4x = 0
-35 + 9x = 1 + 0
-35 + 9x = 1

Add '35' to each side of the equation.
-35 + 35 + 9x = 1 + 35

Combine like terms: -35 + 35 = 0
0 + 9x = 1 + 35
9x = 1 + 35

Combine like terms: 1 + 35 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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