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

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


Simplifying
2(4 + -2x) + -7 = 5(x + -2) + -2
(4 * 2 + -2x * 2) + -7 = 5(x + -2) + -2
(8 + -4x) + -7 = 5(x + -2) + -2

Reorder the terms:
8 + -7 + -4x = 5(x + -2) + -2

Combine like terms: 8 + -7 = 1
1 + -4x = 5(x + -2) + -2

Reorder the terms:
1 + -4x = 5(-2 + x) + -2
1 + -4x = (-2 * 5 + x * 5) + -2
1 + -4x = (-10 + 5x) + -2

Reorder the terms:
1 + -4x = -10 + -2 + 5x

Combine like terms: -10 + -2 = -12
1 + -4x = -12 + 5x

Solving
1 + -4x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + -4x + -5x = -12 + 5x + -5x

Combine like terms: -4x + -5x = -9x
1 + -9x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -9x = -12 + 0
1 + -9x = -12

Add '-1' to each side of the equation.
1 + -1 + -9x = -12 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = -12 + -1
-9x = -12 + -1

Combine like terms: -12 + -1 = -13
-9x = -13

Divide each side by '-9'.
x = 1.444444444

Simplifying
x = 1.444444444

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