13x+12=16x-20

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Solution for 13x+12=16x-20 equation:


Simplifying
13x + 12 = 16x + -20

Reorder the terms:
12 + 13x = 16x + -20

Reorder the terms:
12 + 13x = -20 + 16x

Solving
12 + 13x = -20 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
12 + 13x + -16x = -20 + 16x + -16x

Combine like terms: 13x + -16x = -3x
12 + -3x = -20 + 16x + -16x

Combine like terms: 16x + -16x = 0
12 + -3x = -20 + 0
12 + -3x = -20

Add '-12' to each side of the equation.
12 + -12 + -3x = -20 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -20 + -12
-3x = -20 + -12

Combine like terms: -20 + -12 = -32
-3x = -32

Divide each side by '-3'.
x = 10.66666667

Simplifying
x = 10.66666667

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