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

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


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

Reorder the terms:
6(-6 + x) + -4(x + -7) = x + 6
(-6 * 6 + x * 6) + -4(x + -7) = x + 6
(-36 + 6x) + -4(x + -7) = x + 6

Reorder the terms:
-36 + 6x + -4(-7 + x) = x + 6
-36 + 6x + (-7 * -4 + x * -4) = x + 6
-36 + 6x + (28 + -4x) = x + 6

Reorder the terms:
-36 + 28 + 6x + -4x = x + 6

Combine like terms: -36 + 28 = -8
-8 + 6x + -4x = x + 6

Combine like terms: 6x + -4x = 2x
-8 + 2x = x + 6

Reorder the terms:
-8 + 2x = 6 + x

Solving
-8 + 2x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 2x + -1x = 6 + x + -1x

Combine like terms: 2x + -1x = 1x
-8 + 1x = 6 + x + -1x

Combine like terms: x + -1x = 0
-8 + 1x = 6 + 0
-8 + 1x = 6

Add '8' to each side of the equation.
-8 + 8 + 1x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = 6 + 8
1x = 6 + 8

Combine like terms: 6 + 8 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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