18+x=-6(x-7)+4x

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Solution for 18+x=-6(x-7)+4x equation:


Simplifying
18 + x = -6(x + -7) + 4x

Reorder the terms:
18 + x = -6(-7 + x) + 4x
18 + x = (-7 * -6 + x * -6) + 4x
18 + x = (42 + -6x) + 4x

Combine like terms: -6x + 4x = -2x
18 + x = 42 + -2x

Solving
18 + x = 42 + -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.
18 + x + 2x = 42 + -2x + 2x

Combine like terms: x + 2x = 3x
18 + 3x = 42 + -2x + 2x

Combine like terms: -2x + 2x = 0
18 + 3x = 42 + 0
18 + 3x = 42

Add '-18' to each side of the equation.
18 + -18 + 3x = 42 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = 42 + -18
3x = 42 + -18

Combine like terms: 42 + -18 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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