12+2(3x-4)=15-3(x+1)

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Solution for 12+2(3x-4)=15-3(x+1) equation:


Simplifying
12 + 2(3x + -4) = 15 + -3(x + 1)

Reorder the terms:
12 + 2(-4 + 3x) = 15 + -3(x + 1)
12 + (-4 * 2 + 3x * 2) = 15 + -3(x + 1)
12 + (-8 + 6x) = 15 + -3(x + 1)

Combine like terms: 12 + -8 = 4
4 + 6x = 15 + -3(x + 1)

Reorder the terms:
4 + 6x = 15 + -3(1 + x)
4 + 6x = 15 + (1 * -3 + x * -3)
4 + 6x = 15 + (-3 + -3x)

Combine like terms: 15 + -3 = 12
4 + 6x = 12 + -3x

Solving
4 + 6x = 12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + 6x + 3x = 12 + -3x + 3x

Combine like terms: 6x + 3x = 9x
4 + 9x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 9x = 12 + 0
4 + 9x = 12

Add '-4' to each side of the equation.
4 + -4 + 9x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 12 + -4
9x = 12 + -4

Combine like terms: 12 + -4 = 8
9x = 8

Divide each side by '9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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