7x-2=13x+32

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Solution for 7x-2=13x+32 equation:


Simplifying
7x + -2 = 13x + 32

Reorder the terms:
-2 + 7x = 13x + 32

Reorder the terms:
-2 + 7x = 32 + 13x

Solving
-2 + 7x = 32 + 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.
-2 + 7x + -13x = 32 + 13x + -13x

Combine like terms: 7x + -13x = -6x
-2 + -6x = 32 + 13x + -13x

Combine like terms: 13x + -13x = 0
-2 + -6x = 32 + 0
-2 + -6x = 32

Add '2' to each side of the equation.
-2 + 2 + -6x = 32 + 2

Combine like terms: -2 + 2 = 0
0 + -6x = 32 + 2
-6x = 32 + 2

Combine like terms: 32 + 2 = 34
-6x = 34

Divide each side by '-6'.
x = -5.666666667

Simplifying
x = -5.666666667

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