2(x-7)-6=22x-260

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Solution for 2(x-7)-6=22x-260 equation:


Simplifying
2(x + -7) + -6 = 22x + -260

Reorder the terms:
2(-7 + x) + -6 = 22x + -260
(-7 * 2 + x * 2) + -6 = 22x + -260
(-14 + 2x) + -6 = 22x + -260

Reorder the terms:
-14 + -6 + 2x = 22x + -260

Combine like terms: -14 + -6 = -20
-20 + 2x = 22x + -260

Reorder the terms:
-20 + 2x = -260 + 22x

Solving
-20 + 2x = -260 + 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.
-20 + 2x + -22x = -260 + 22x + -22x

Combine like terms: 2x + -22x = -20x
-20 + -20x = -260 + 22x + -22x

Combine like terms: 22x + -22x = 0
-20 + -20x = -260 + 0
-20 + -20x = -260

Add '20' to each side of the equation.
-20 + 20 + -20x = -260 + 20

Combine like terms: -20 + 20 = 0
0 + -20x = -260 + 20
-20x = -260 + 20

Combine like terms: -260 + 20 = -240
-20x = -240

Divide each side by '-20'.
x = 12

Simplifying
x = 12

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