x-2=7x-32

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


Simplifying
x + -2 = 7x + -32

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

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

Solving
-2 + x = -32 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2 + x + -7x = -32 + 7x + -7x

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

Combine like terms: 7x + -7x = 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 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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