3(x-12)-11=18x-122

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Solution for 3(x-12)-11=18x-122 equation: 


Simplifying
3(x + -12) + -11 = 18x + -122

Reorder the terms:
3(-12 + x) + -11 = 18x + -122
(-12 * 3 + x * 3) + -11 = 18x + -122
(-36 + 3x) + -11 = 18x + -122

Reorder the terms:
-36 + -11 + 3x = 18x + -122

Combine like terms: -36 + -11 = -47
-47 + 3x = 18x + -122

Reorder the terms:
-47 + 3x = -122 + 18x

Solving
-47 + 3x = -122 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-47 + 3x + -18x = -122 + 18x + -18x

Combine like terms: 3x + -18x = -15x
-47 + -15x = -122 + 18x + -18x

Combine like terms: 18x + -18x = 0
-47 + -15x = -122 + 0
-47 + -15x = -122

Add '47' to each side of the equation.
-47 + 47 + -15x = -122 + 47

Combine like terms: -47 + 47 = 0
0 + -15x = -122 + 47
-15x = -122 + 47

Combine like terms: -122 + 47 = -75
-15x = -75

Divide each side by '-15'.
x = 5

Simplifying
x = 5

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