6x+32=13x-52

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Solution for 6x+32=13x-52 equation:


Simplifying
6x + 32 = 13x + -52

Reorder the terms:
32 + 6x = 13x + -52

Reorder the terms:
32 + 6x = -52 + 13x

Solving
32 + 6x = -52 + 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.
32 + 6x + -13x = -52 + 13x + -13x

Combine like terms: 6x + -13x = -7x
32 + -7x = -52 + 13x + -13x

Combine like terms: 13x + -13x = 0
32 + -7x = -52 + 0
32 + -7x = -52

Add '-32' to each side of the equation.
32 + -32 + -7x = -52 + -32

Combine like terms: 32 + -32 = 0
0 + -7x = -52 + -32
-7x = -52 + -32

Combine like terms: -52 + -32 = -84
-7x = -84

Divide each side by '-7'.
x = 12

Simplifying
x = 12

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