6(x-12)-2=22x-138

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Solution for 6(x-12)-2=22x-138 equation:


Simplifying
6(x + -12) + -2 = 22x + -138

Reorder the terms:
6(-12 + x) + -2 = 22x + -138
(-12 * 6 + x * 6) + -2 = 22x + -138
(-72 + 6x) + -2 = 22x + -138

Reorder the terms:
-72 + -2 + 6x = 22x + -138

Combine like terms: -72 + -2 = -74
-74 + 6x = 22x + -138

Reorder the terms:
-74 + 6x = -138 + 22x

Solving
-74 + 6x = -138 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-74 + 6x + -22x = -138 + 22x + -22x

Combine like terms: 6x + -22x = -16x
-74 + -16x = -138 + 22x + -22x

Combine like terms: 22x + -22x = 0
-74 + -16x = -138 + 0
-74 + -16x = -138

Add '74' to each side of the equation.
-74 + 74 + -16x = -138 + 74

Combine like terms: -74 + 74 = 0
0 + -16x = -138 + 74
-16x = -138 + 74

Combine like terms: -138 + 74 = -64
-16x = -64

Divide each side by '-16'.
x = 4

Simplifying
x = 4

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