7(x+12)=18-x

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Solution for 7(x+12)=18-x equation:


Simplifying
7(x + 12) = 18 + -1x

Reorder the terms:
7(12 + x) = 18 + -1x
(12 * 7 + x * 7) = 18 + -1x
(84 + 7x) = 18 + -1x

Solving
84 + 7x = 18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
84 + 7x + x = 18 + -1x + x

Combine like terms: 7x + x = 8x
84 + 8x = 18 + -1x + x

Combine like terms: -1x + x = 0
84 + 8x = 18 + 0
84 + 8x = 18

Add '-84' to each side of the equation.
84 + -84 + 8x = 18 + -84

Combine like terms: 84 + -84 = 0
0 + 8x = 18 + -84
8x = 18 + -84

Combine like terms: 18 + -84 = -66
8x = -66

Divide each side by '8'.
x = -8.25

Simplifying
x = -8.25

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