3(x+4)=6(x-1)-5(x-2)

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Solution for 3(x+4)=6(x-1)-5(x-2) equation:


Simplifying
3(x + 4) = 6(x + -1) + -5(x + -2)

Reorder the terms:
3(4 + x) = 6(x + -1) + -5(x + -2)
(4 * 3 + x * 3) = 6(x + -1) + -5(x + -2)
(12 + 3x) = 6(x + -1) + -5(x + -2)

Reorder the terms:
12 + 3x = 6(-1 + x) + -5(x + -2)
12 + 3x = (-1 * 6 + x * 6) + -5(x + -2)
12 + 3x = (-6 + 6x) + -5(x + -2)

Reorder the terms:
12 + 3x = -6 + 6x + -5(-2 + x)
12 + 3x = -6 + 6x + (-2 * -5 + x * -5)
12 + 3x = -6 + 6x + (10 + -5x)

Reorder the terms:
12 + 3x = -6 + 10 + 6x + -5x

Combine like terms: -6 + 10 = 4
12 + 3x = 4 + 6x + -5x

Combine like terms: 6x + -5x = 1x
12 + 3x = 4 + 1x

Solving
12 + 3x = 4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 3x + -1x = 4 + 1x + -1x

Combine like terms: 3x + -1x = 2x
12 + 2x = 4 + 1x + -1x

Combine like terms: 1x + -1x = 0
12 + 2x = 4 + 0
12 + 2x = 4

Add '-12' to each side of the equation.
12 + -12 + 2x = 4 + -12

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

Combine like terms: 4 + -12 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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