2(x+1)-12=4(x-10)

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Solution for 2(x+1)-12=4(x-10) equation: 


Simplifying
2(x + 1) + -12 = 4(x + -10)

Reorder the terms:
2(1 + x) + -12 = 4(x + -10)
(1 * 2 + x * 2) + -12 = 4(x + -10)
(2 + 2x) + -12 = 4(x + -10)

Reorder the terms:
2 + -12 + 2x = 4(x + -10)

Combine like terms: 2 + -12 = -10
-10 + 2x = 4(x + -10)

Reorder the terms:
-10 + 2x = 4(-10 + x)
-10 + 2x = (-10 * 4 + x * 4)
-10 + 2x = (-40 + 4x)

Solving
-10 + 2x = -40 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 2x + -4x = -40 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-10 + -2x = -40 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + -2x = -40 + 0
-10 + -2x = -40

Add '10' to each side of the equation.
-10 + 10 + -2x = -40 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -40 + 10
-2x = -40 + 10

Combine like terms: -40 + 10 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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