2(2x-2)-5=2(x-4)+7

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Solution for 2(2x-2)-5=2(x-4)+7 equation:


Simplifying
2(2x + -2) + -5 = 2(x + -4) + 7

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

Reorder the terms:
-4 + -5 + 4x = 2(x + -4) + 7

Combine like terms: -4 + -5 = -9
-9 + 4x = 2(x + -4) + 7

Reorder the terms:
-9 + 4x = 2(-4 + x) + 7
-9 + 4x = (-4 * 2 + x * 2) + 7
-9 + 4x = (-8 + 2x) + 7

Reorder the terms:
-9 + 4x = -8 + 7 + 2x

Combine like terms: -8 + 7 = -1
-9 + 4x = -1 + 2x

Solving
-9 + 4x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 4x + -2x = -1 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-9 + 2x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 2x = -1 + 0
-9 + 2x = -1

Add '9' to each side of the equation.
-9 + 9 + 2x = -1 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = -1 + 9
2x = -1 + 9

Combine like terms: -1 + 9 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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