4(x+9)=13x-36

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Solution for 4(x+9)=13x-36 equation:


Simplifying
4(x + 9) = 13x + -36

Reorder the terms:
4(9 + x) = 13x + -36
(9 * 4 + x * 4) = 13x + -36
(36 + 4x) = 13x + -36

Reorder the terms:
36 + 4x = -36 + 13x

Solving
36 + 4x = -36 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
36 + 4x + -13x = -36 + 13x + -13x

Combine like terms: 4x + -13x = -9x
36 + -9x = -36 + 13x + -13x

Combine like terms: 13x + -13x = 0
36 + -9x = -36 + 0
36 + -9x = -36

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

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

Combine like terms: -36 + -36 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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