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

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


Simplifying
3(x + -6) + -1(6x + -8) = -4x

Reorder the terms:
3(-6 + x) + -1(6x + -8) = -4x
(-6 * 3 + x * 3) + -1(6x + -8) = -4x
(-18 + 3x) + -1(6x + -8) = -4x

Reorder the terms:
-18 + 3x + -1(-8 + 6x) = -4x
-18 + 3x + (-8 * -1 + 6x * -1) = -4x
-18 + 3x + (8 + -6x) = -4x

Reorder the terms:
-18 + 8 + 3x + -6x = -4x

Combine like terms: -18 + 8 = -10
-10 + 3x + -6x = -4x

Combine like terms: 3x + -6x = -3x
-10 + -3x = -4x

Solving
-10 + -3x = -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.
-10 + -3x + 4x = -4x + 4x

Combine like terms: -3x + 4x = 1x
-10 + 1x = -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 1x = 0

Add '10' to each side of the equation.
-10 + 10 + 1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 0 + 10
1x = 0 + 10

Combine like terms: 0 + 10 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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