4(x+9)=x-9

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Solution for 4(x+9)=x-9 equation:


Simplifying
4(x + 9) = x + -9

Reorder the terms:
4(9 + x) = x + -9
(9 * 4 + x * 4) = x + -9
(36 + 4x) = x + -9

Reorder the terms:
36 + 4x = -9 + x

Solving
36 + 4x = -9 + 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.
36 + 4x + -1x = -9 + x + -1x

Combine like terms: 4x + -1x = 3x
36 + 3x = -9 + x + -1x

Combine like terms: x + -1x = 0
36 + 3x = -9 + 0
36 + 3x = -9

Add '-36' to each side of the equation.
36 + -36 + 3x = -9 + -36

Combine like terms: 36 + -36 = 0
0 + 3x = -9 + -36
3x = -9 + -36

Combine like terms: -9 + -36 = -45
3x = -45

Divide each side by '3'.
x = -15

Simplifying
x = -15

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