-2+2(x+6)=5(x-1)

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Solution for -2+2(x+6)=5(x-1) equation:


Simplifying
-2 + 2(x + 6) = 5(x + -1)

Reorder the terms:
-2 + 2(6 + x) = 5(x + -1)
-2 + (6 * 2 + x * 2) = 5(x + -1)
-2 + (12 + 2x) = 5(x + -1)

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

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

Solving
10 + 2x = -5 + 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.
10 + 2x + -5x = -5 + 5x + -5x

Combine like terms: 2x + -5x = -3x
10 + -3x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -3x = -5 + 0
10 + -3x = -5

Add '-10' to each side of the equation.
10 + -10 + -3x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -5 + -10
-3x = -5 + -10

Combine like terms: -5 + -10 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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