2(x-1)+6=-3(x+8)

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Solution for 2(x-1)+6=-3(x+8) equation:


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

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

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

Combine like terms: -2 + 6 = 4
4 + 2x = -3(x + 8)

Reorder the terms:
4 + 2x = -3(8 + x)
4 + 2x = (8 * -3 + x * -3)
4 + 2x = (-24 + -3x)

Solving
4 + 2x = -24 + -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 + 2x + 3x = -24 + -3x + 3x

Combine like terms: 2x + 3x = 5x
4 + 5x = -24 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 5x = -24 + 0
4 + 5x = -24

Add '-4' to each side of the equation.
4 + -4 + 5x = -24 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = -24 + -4
5x = -24 + -4

Combine like terms: -24 + -4 = -28
5x = -28

Divide each side by '5'.
x = -5.6

Simplifying
x = -5.6

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