9(x-12)-10=24x-178

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Solution for 9(x-12)-10=24x-178 equation: 


Simplifying
9(x + -12) + -10 = 24x + -178

Reorder the terms:
9(-12 + x) + -10 = 24x + -178
(-12 * 9 + x * 9) + -10 = 24x + -178
(-108 + 9x) + -10 = 24x + -178

Reorder the terms:
-108 + -10 + 9x = 24x + -178

Combine like terms: -108 + -10 = -118
-118 + 9x = 24x + -178

Reorder the terms:
-118 + 9x = -178 + 24x

Solving
-118 + 9x = -178 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-118 + 9x + -24x = -178 + 24x + -24x

Combine like terms: 9x + -24x = -15x
-118 + -15x = -178 + 24x + -24x

Combine like terms: 24x + -24x = 0
-118 + -15x = -178 + 0
-118 + -15x = -178

Add '118' to each side of the equation.
-118 + 118 + -15x = -178 + 118

Combine like terms: -118 + 118 = 0
0 + -15x = -178 + 118
-15x = -178 + 118

Combine like terms: -178 + 118 = -60
-15x = -60

Divide each side by '-15'.
x = 4

Simplifying
x = 4

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