8-4x+7=5(x+6)-2

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Solution for 8-4x+7=5(x+6)-2 equation:


Simplifying
8 + -4x + 7 = 5(x + 6) + -2

Reorder the terms:
8 + 7 + -4x = 5(x + 6) + -2

Combine like terms: 8 + 7 = 15
15 + -4x = 5(x + 6) + -2

Reorder the terms:
15 + -4x = 5(6 + x) + -2
15 + -4x = (6 * 5 + x * 5) + -2
15 + -4x = (30 + 5x) + -2

Reorder the terms:
15 + -4x = 30 + -2 + 5x

Combine like terms: 30 + -2 = 28
15 + -4x = 28 + 5x

Solving
15 + -4x = 28 + 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.
15 + -4x + -5x = 28 + 5x + -5x

Combine like terms: -4x + -5x = -9x
15 + -9x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -9x = 28 + 0
15 + -9x = 28

Add '-15' to each side of the equation.
15 + -15 + -9x = 28 + -15

Combine like terms: 15 + -15 = 0
0 + -9x = 28 + -15
-9x = 28 + -15

Combine like terms: 28 + -15 = 13
-9x = 13

Divide each side by '-9'.
x = -1.444444444

Simplifying
x = -1.444444444

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