6x+16=13x-12

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Solution for 6x+16=13x-12 equation:


Simplifying
6x + 16 = 13x + -12

Reorder the terms:
16 + 6x = 13x + -12

Reorder the terms:
16 + 6x = -12 + 13x

Solving
16 + 6x = -12 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
16 + 6x + -13x = -12 + 13x + -13x

Combine like terms: 6x + -13x = -7x
16 + -7x = -12 + 13x + -13x

Combine like terms: 13x + -13x = 0
16 + -7x = -12 + 0
16 + -7x = -12

Add '-16' to each side of the equation.
16 + -16 + -7x = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = -12 + -16
-7x = -12 + -16

Combine like terms: -12 + -16 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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