12-3(x+1)+6x=-(x-15)

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Solution for 12-3(x+1)+6x=-(x-15) equation:


Simplifying
12 + -3(x + 1) + 6x = -1(x + -15)

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

Combine like terms: 12 + -3 = 9
9 + -3x + 6x = -1(x + -15)

Combine like terms: -3x + 6x = 3x
9 + 3x = -1(x + -15)

Reorder the terms:
9 + 3x = -1(-15 + x)
9 + 3x = (-15 * -1 + x * -1)
9 + 3x = (15 + -1x)

Solving
9 + 3x = 15 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
9 + 3x + x = 15 + -1x + x

Combine like terms: 3x + x = 4x
9 + 4x = 15 + -1x + x

Combine like terms: -1x + x = 0
9 + 4x = 15 + 0
9 + 4x = 15

Add '-9' to each side of the equation.
9 + -9 + 4x = 15 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 15 + -9
4x = 15 + -9

Combine like terms: 15 + -9 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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