(x+32)=(7x-4)

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Solution for (x+32)=(7x-4) equation:


Simplifying
(x + 32) = (7x + -4)

Reorder the terms:
(32 + x) = (7x + -4)

Remove parenthesis around (32 + x)
32 + x = (7x + -4)

Reorder the terms:
32 + x = (-4 + 7x)

Remove parenthesis around (-4 + 7x)
32 + x = -4 + 7x

Solving
32 + x = -4 + 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.
32 + x + -7x = -4 + 7x + -7x

Combine like terms: x + -7x = -6x
32 + -6x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + -6x = -4 + 0
32 + -6x = -4

Add '-32' to each side of the equation.
32 + -32 + -6x = -4 + -32

Combine like terms: 32 + -32 = 0
0 + -6x = -4 + -32
-6x = -4 + -32

Combine like terms: -4 + -32 = -36
-6x = -36

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

Simplifying
x = 6

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