4x-13=12x+9

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Solution for 4x-13=12x+9 equation:


Simplifying
4x + -13 = 12x + 9

Reorder the terms:
-13 + 4x = 12x + 9

Reorder the terms:
-13 + 4x = 9 + 12x

Solving
-13 + 4x = 9 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-13 + 4x + -12x = 9 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-13 + -8x = 9 + 12x + -12x

Combine like terms: 12x + -12x = 0
-13 + -8x = 9 + 0
-13 + -8x = 9

Add '13' to each side of the equation.
-13 + 13 + -8x = 9 + 13

Combine like terms: -13 + 13 = 0
0 + -8x = 9 + 13
-8x = 9 + 13

Combine like terms: 9 + 13 = 22
-8x = 22

Divide each side by '-8'.
x = -2.75

Simplifying
x = -2.75

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