8x+4(6-x)=2x-18

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Solution for 8x+4(6-x)=2x-18 equation:


Simplifying
8x + 4(6 + -1x) = 2x + -18
8x + (6 * 4 + -1x * 4) = 2x + -18
8x + (24 + -4x) = 2x + -18

Reorder the terms:
24 + 8x + -4x = 2x + -18

Combine like terms: 8x + -4x = 4x
24 + 4x = 2x + -18

Reorder the terms:
24 + 4x = -18 + 2x

Solving
24 + 4x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
24 + 4x + -2x = -18 + 2x + -2x

Combine like terms: 4x + -2x = 2x
24 + 2x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 2x = -18 + 0
24 + 2x = -18

Add '-24' to each side of the equation.
24 + -24 + 2x = -18 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = -18 + -24
2x = -18 + -24

Combine like terms: -18 + -24 = -42
2x = -42

Divide each side by '2'.
x = -21

Simplifying
x = -21

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