4x+13=9x-27

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Solution for 4x+13=9x-27 equation:


Simplifying
4x + 13 = 9x + -27

Reorder the terms:
13 + 4x = 9x + -27

Reorder the terms:
13 + 4x = -27 + 9x

Solving
13 + 4x = -27 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
13 + 4x + -9x = -27 + 9x + -9x

Combine like terms: 4x + -9x = -5x
13 + -5x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
13 + -5x = -27 + 0
13 + -5x = -27

Add '-13' to each side of the equation.
13 + -13 + -5x = -27 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = -27 + -13
-5x = -27 + -13

Combine like terms: -27 + -13 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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