-6(x-4)=8x-18

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Solution for -6(x-4)=8x-18 equation:


Simplifying
-6(x + -4) = 8x + -18

Reorder the terms:
-6(-4 + x) = 8x + -18
(-4 * -6 + x * -6) = 8x + -18
(24 + -6x) = 8x + -18

Reorder the terms:
24 + -6x = -18 + 8x

Solving
24 + -6x = -18 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
24 + -6x + -8x = -18 + 8x + -8x

Combine like terms: -6x + -8x = -14x
24 + -14x = -18 + 8x + -8x

Combine like terms: 8x + -8x = 0
24 + -14x = -18 + 0
24 + -14x = -18

Add '-24' to each side of the equation.
24 + -24 + -14x = -18 + -24

Combine like terms: 24 + -24 = 0
0 + -14x = -18 + -24
-14x = -18 + -24

Combine like terms: -18 + -24 = -42
-14x = -42

Divide each side by '-14'.
x = 3

Simplifying
x = 3

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