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

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


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

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

Combine like terms: 8 + 6 = 14
14 + -1x = 5(x + 4)

Reorder the terms:
14 + -1x = 5(4 + x)
14 + -1x = (4 * 5 + x * 5)
14 + -1x = (20 + 5x)

Solving
14 + -1x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + -1x + -5x = 20 + 5x + -5x

Combine like terms: -1x + -5x = -6x
14 + -6x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -6x = 20 + 0
14 + -6x = 20

Add '-14' to each side of the equation.
14 + -14 + -6x = 20 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = 20 + -14
-6x = 20 + -14

Combine like terms: 20 + -14 = 6
-6x = 6

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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