(x-6)=3(x+8)-4x

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Solution for (x-6)=3(x+8)-4x equation:


Simplifying
(x + -6) = 3(x + 8) + -4x

Reorder the terms:
(-6 + x) = 3(x + 8) + -4x

Remove parenthesis around (-6 + x)
-6 + x = 3(x + 8) + -4x

Reorder the terms:
-6 + x = 3(8 + x) + -4x
-6 + x = (8 * 3 + x * 3) + -4x
-6 + x = (24 + 3x) + -4x

Combine like terms: 3x + -4x = -1x
-6 + x = 24 + -1x

Solving
-6 + x = 24 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + x + x = 24 + -1x + x

Combine like terms: x + x = 2x
-6 + 2x = 24 + -1x + x

Combine like terms: -1x + x = 0
-6 + 2x = 24 + 0
-6 + 2x = 24

Add '6' to each side of the equation.
-6 + 6 + 2x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 24 + 6
2x = 24 + 6

Combine like terms: 24 + 6 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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