9(x-6)+6=5(x+2)-12

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Solution for 9(x-6)+6=5(x+2)-12 equation:


Simplifying
9(x + -6) + 6 = 5(x + 2) + -12

Reorder the terms:
9(-6 + x) + 6 = 5(x + 2) + -12
(-6 * 9 + x * 9) + 6 = 5(x + 2) + -12
(-54 + 9x) + 6 = 5(x + 2) + -12

Reorder the terms:
-54 + 6 + 9x = 5(x + 2) + -12

Combine like terms: -54 + 6 = -48
-48 + 9x = 5(x + 2) + -12

Reorder the terms:
-48 + 9x = 5(2 + x) + -12
-48 + 9x = (2 * 5 + x * 5) + -12
-48 + 9x = (10 + 5x) + -12

Reorder the terms:
-48 + 9x = 10 + -12 + 5x

Combine like terms: 10 + -12 = -2
-48 + 9x = -2 + 5x

Solving
-48 + 9x = -2 + 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.
-48 + 9x + -5x = -2 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-48 + 4x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-48 + 4x = -2 + 0
-48 + 4x = -2

Add '48' to each side of the equation.
-48 + 48 + 4x = -2 + 48

Combine like terms: -48 + 48 = 0
0 + 4x = -2 + 48
4x = -2 + 48

Combine like terms: -2 + 48 = 46
4x = 46

Divide each side by '4'.
x = 11.5

Simplifying
x = 11.5

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