3(x+4)-(x-6)=-2(5x+8)

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Solution for 3(x+4)-(x-6)=-2(5x+8) equation:


Simplifying
3(x + 4) + -1(x + -6) = -2(5x + 8)

Reorder the terms:
3(4 + x) + -1(x + -6) = -2(5x + 8)
(4 * 3 + x * 3) + -1(x + -6) = -2(5x + 8)
(12 + 3x) + -1(x + -6) = -2(5x + 8)

Reorder the terms:
12 + 3x + -1(-6 + x) = -2(5x + 8)
12 + 3x + (-6 * -1 + x * -1) = -2(5x + 8)
12 + 3x + (6 + -1x) = -2(5x + 8)

Reorder the terms:
12 + 6 + 3x + -1x = -2(5x + 8)

Combine like terms: 12 + 6 = 18
18 + 3x + -1x = -2(5x + 8)

Combine like terms: 3x + -1x = 2x
18 + 2x = -2(5x + 8)

Reorder the terms:
18 + 2x = -2(8 + 5x)
18 + 2x = (8 * -2 + 5x * -2)
18 + 2x = (-16 + -10x)

Solving
18 + 2x = -16 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
18 + 2x + 10x = -16 + -10x + 10x

Combine like terms: 2x + 10x = 12x
18 + 12x = -16 + -10x + 10x

Combine like terms: -10x + 10x = 0
18 + 12x = -16 + 0
18 + 12x = -16

Add '-18' to each side of the equation.
18 + -18 + 12x = -16 + -18

Combine like terms: 18 + -18 = 0
0 + 12x = -16 + -18
12x = -16 + -18

Combine like terms: -16 + -18 = -34
12x = -34

Divide each side by '12'.
x = -2.833333333

Simplifying
x = -2.833333333

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