3(x+9)=20+x-7

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Solution for 3(x+9)=20+x-7 equation:


Simplifying
3(x + 9) = 20 + x + -7

Reorder the terms:
3(9 + x) = 20 + x + -7
(9 * 3 + x * 3) = 20 + x + -7
(27 + 3x) = 20 + x + -7

Reorder the terms:
27 + 3x = 20 + -7 + x

Combine like terms: 20 + -7 = 13
27 + 3x = 13 + x

Solving
27 + 3x = 13 + 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.
27 + 3x + -1x = 13 + x + -1x

Combine like terms: 3x + -1x = 2x
27 + 2x = 13 + x + -1x

Combine like terms: x + -1x = 0
27 + 2x = 13 + 0
27 + 2x = 13

Add '-27' to each side of the equation.
27 + -27 + 2x = 13 + -27

Combine like terms: 27 + -27 = 0
0 + 2x = 13 + -27
2x = 13 + -27

Combine like terms: 13 + -27 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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