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 = -23
-23 + 9x = 4x + 12

Reorder the terms:
-23 + 9x = 12 + 4x

Solving
-23 + 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.
-23 + 9x + -4x = 12 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-23 + 5x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-23 + 5x = 12 + 0
-23 + 5x = 12

Add '23' to each side of the equation.
-23 + 23 + 5x = 12 + 23

Combine like terms: -23 + 23 = 0
0 + 5x = 12 + 23
5x = 12 + 23

Combine like terms: 12 + 23 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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