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

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


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

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

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

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

Reorder the terms:
-5 + 2x = 5(-2 + x) + -7
-5 + 2x = (-2 * 5 + x * 5) + -7
-5 + 2x = (-10 + 5x) + -7

Reorder the terms:
-5 + 2x = -10 + -7 + 5x

Combine like terms: -10 + -7 = -17
-5 + 2x = -17 + 5x

Solving
-5 + 2x = -17 + 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.
-5 + 2x + -5x = -17 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-5 + -3x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -3x = -17 + 0
-5 + -3x = -17

Add '5' to each side of the equation.
-5 + 5 + -3x = -17 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -17 + 5
-3x = -17 + 5

Combine like terms: -17 + 5 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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