12-(5-2x)+8x=6-2(x+1)

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Solution for 12-(5-2x)+8x=6-2(x+1) equation:


Simplifying
12 + -1(5 + -2x) + 8x = 6 + -2(x + 1)
12 + (5 * -1 + -2x * -1) + 8x = 6 + -2(x + 1)
12 + (-5 + 2x) + 8x = 6 + -2(x + 1)

Combine like terms: 12 + -5 = 7
7 + 2x + 8x = 6 + -2(x + 1)

Combine like terms: 2x + 8x = 10x
7 + 10x = 6 + -2(x + 1)

Reorder the terms:
7 + 10x = 6 + -2(1 + x)
7 + 10x = 6 + (1 * -2 + x * -2)
7 + 10x = 6 + (-2 + -2x)

Combine like terms: 6 + -2 = 4
7 + 10x = 4 + -2x

Solving
7 + 10x = 4 + -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.
7 + 10x + 2x = 4 + -2x + 2x

Combine like terms: 10x + 2x = 12x
7 + 12x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + 12x = 4 + 0
7 + 12x = 4

Add '-7' to each side of the equation.
7 + -7 + 12x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + 12x = 4 + -7
12x = 4 + -7

Combine like terms: 4 + -7 = -3
12x = -3

Divide each side by '12'.
x = -0.25

Simplifying
x = -0.25

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