x+32=6x-13

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


Simplifying
x + 32 = 6x + -13

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

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

Solving
32 + x = -13 + 6x

Solving for variable 'x'.

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

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

Combine like terms: x + -6x = -5x
32 + -5x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
32 + -5x = -13 + 0
32 + -5x = -13

Add '-32' to each side of the equation.
32 + -32 + -5x = -13 + -32

Combine like terms: 32 + -32 = 0
0 + -5x = -13 + -32
-5x = -13 + -32

Combine like terms: -13 + -32 = -45
-5x = -45

Divide each side by '-5'.
x = 9

Simplifying
x = 9

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