12+2(2x-1)=14-(2x-8)

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Solution for 12+2(2x-1)=14-(2x-8) equation:


Simplifying
12 + 2(2x + -1) = 14 + -1(2x + -8)

Reorder the terms:
12 + 2(-1 + 2x) = 14 + -1(2x + -8)
12 + (-1 * 2 + 2x * 2) = 14 + -1(2x + -8)
12 + (-2 + 4x) = 14 + -1(2x + -8)

Combine like terms: 12 + -2 = 10
10 + 4x = 14 + -1(2x + -8)

Reorder the terms:
10 + 4x = 14 + -1(-8 + 2x)
10 + 4x = 14 + (-8 * -1 + 2x * -1)
10 + 4x = 14 + (8 + -2x)

Combine like terms: 14 + 8 = 22
10 + 4x = 22 + -2x

Solving
10 + 4x = 22 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
10 + 4x + 2x = 22 + -2x + 2x

Combine like terms: 4x + 2x = 6x
10 + 6x = 22 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 6x = 22 + 0
10 + 6x = 22

Add '-10' to each side of the equation.
10 + -10 + 6x = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 22 + -10
6x = 22 + -10

Combine like terms: 22 + -10 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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