9(x-4)-13=4x+12

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


Simplifying
9(x + -4) + -13 = 4x + 12

Reorder the terms:
9(-4 + x) + -13 = 4x + 12
(-4 * 9 + x * 9) + -13 = 4x + 12
(-36 + 9x) + -13 = 4x + 12

Reorder the terms:
-36 + -13 + 9x = 4x + 12

Combine like terms: -36 + -13 = -49
-49 + 9x = 4x + 12

Reorder the terms:
-49 + 9x = 12 + 4x

Solving
-49 + 9x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-49 + 9x + -4x = 12 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-49 + 5x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-49 + 5x = 12 + 0
-49 + 5x = 12

Add '49' to each side of the equation.
-49 + 49 + 5x = 12 + 49

Combine like terms: -49 + 49 = 0
0 + 5x = 12 + 49
5x = 12 + 49

Combine like terms: 12 + 49 = 61
5x = 61

Divide each side by '5'.
x = 12.2

Simplifying
x = 12.2

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