2(x-6)+6=3(x-1)-10

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Solution for 2(x-6)+6=3(x-1)-10 equation:


Simplifying
2(x + -6) + 6 = 3(x + -1) + -10

Reorder the terms:
2(-6 + x) + 6 = 3(x + -1) + -10
(-6 * 2 + x * 2) + 6 = 3(x + -1) + -10
(-12 + 2x) + 6 = 3(x + -1) + -10

Reorder the terms:
-12 + 6 + 2x = 3(x + -1) + -10

Combine like terms: -12 + 6 = -6
-6 + 2x = 3(x + -1) + -10

Reorder the terms:
-6 + 2x = 3(-1 + x) + -10
-6 + 2x = (-1 * 3 + x * 3) + -10
-6 + 2x = (-3 + 3x) + -10

Reorder the terms:
-6 + 2x = -3 + -10 + 3x

Combine like terms: -3 + -10 = -13
-6 + 2x = -13 + 3x

Solving
-6 + 2x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 2x + -3x = -13 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-6 + -1x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -1x = -13 + 0
-6 + -1x = -13

Add '6' to each side of the equation.
-6 + 6 + -1x = -13 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -13 + 6
-1x = -13 + 6

Combine like terms: -13 + 6 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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