12(x-7)-10=22x-154

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Solution for 12(x-7)-10=22x-154 equation:


Simplifying
12(x + -7) + -10 = 22x + -154

Reorder the terms:
12(-7 + x) + -10 = 22x + -154
(-7 * 12 + x * 12) + -10 = 22x + -154
(-84 + 12x) + -10 = 22x + -154

Reorder the terms:
-84 + -10 + 12x = 22x + -154

Combine like terms: -84 + -10 = -94
-94 + 12x = 22x + -154

Reorder the terms:
-94 + 12x = -154 + 22x

Solving
-94 + 12x = -154 + 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.
-94 + 12x + -22x = -154 + 22x + -22x

Combine like terms: 12x + -22x = -10x
-94 + -10x = -154 + 22x + -22x

Combine like terms: 22x + -22x = 0
-94 + -10x = -154 + 0
-94 + -10x = -154

Add '94' to each side of the equation.
-94 + 94 + -10x = -154 + 94

Combine like terms: -94 + 94 = 0
0 + -10x = -154 + 94
-10x = -154 + 94

Combine like terms: -154 + 94 = -60
-10x = -60

Divide each side by '-10'.
x = 6

Simplifying
x = 6

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