2(x-2)+6=5(x-5)

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Solution for 2(x-2)+6=5(x-5) equation: 


Simplifying
2(x + -2) + 6 = 5(x + -5)

Reorder the terms:
2(-2 + x) + 6 = 5(x + -5)
(-2 * 2 + x * 2) + 6 = 5(x + -5)
(-4 + 2x) + 6 = 5(x + -5)

Reorder the terms:
-4 + 6 + 2x = 5(x + -5)

Combine like terms: -4 + 6 = 2
2 + 2x = 5(x + -5)

Reorder the terms:
2 + 2x = 5(-5 + x)
2 + 2x = (-5 * 5 + x * 5)
2 + 2x = (-25 + 5x)

Solving
2 + 2x = -25 + 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.
2 + 2x + -5x = -25 + 5x + -5x

Combine like terms: 2x + -5x = -3x
2 + -3x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -3x = -25 + 0
2 + -3x = -25

Add '-2' to each side of the equation.
2 + -2 + -3x = -25 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -25 + -2
-3x = -25 + -2

Combine like terms: -25 + -2 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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