3x+4(x+6)=x-18

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Solution for 3x+4(x+6)=x-18 equation:


Simplifying
3x + 4(x + 6) = x + -18

Reorder the terms:
3x + 4(6 + x) = x + -18
3x + (6 * 4 + x * 4) = x + -18
3x + (24 + 4x) = x + -18

Reorder the terms:
24 + 3x + 4x = x + -18

Combine like terms: 3x + 4x = 7x
24 + 7x = x + -18

Reorder the terms:
24 + 7x = -18 + x

Solving
24 + 7x = -18 + 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.
24 + 7x + -1x = -18 + x + -1x

Combine like terms: 7x + -1x = 6x
24 + 6x = -18 + x + -1x

Combine like terms: x + -1x = 0
24 + 6x = -18 + 0
24 + 6x = -18

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

Combine like terms: 24 + -24 = 0
0 + 6x = -18 + -24
6x = -18 + -24

Combine like terms: -18 + -24 = -42
6x = -42

Divide each side by '6'.
x = -7

Simplifying
x = -7

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