2(x-6)=4(x-7)-6

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Solution for 2(x-6)=4(x-7)-6 equation: 


Simplifying
2(x + -6) = 4(x + -7) + -6

Reorder the terms:
2(-6 + x) = 4(x + -7) + -6
(-6 * 2 + x * 2) = 4(x + -7) + -6
(-12 + 2x) = 4(x + -7) + -6

Reorder the terms:
-12 + 2x = 4(-7 + x) + -6
-12 + 2x = (-7 * 4 + x * 4) + -6
-12 + 2x = (-28 + 4x) + -6

Reorder the terms:
-12 + 2x = -28 + -6 + 4x

Combine like terms: -28 + -6 = -34
-12 + 2x = -34 + 4x

Solving
-12 + 2x = -34 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 2x + -4x = -34 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-12 + -2x = -34 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -2x = -34 + 0
-12 + -2x = -34

Add '12' to each side of the equation.
-12 + 12 + -2x = -34 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = -34 + 12
-2x = -34 + 12

Combine like terms: -34 + 12 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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