7x-4=x-28

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Solution for 7x-4=x-28 equation:


Simplifying
7x + -4 = x + -28

Reorder the terms:
-4 + 7x = x + -28

Reorder the terms:
-4 + 7x = -28 + x

Solving
-4 + 7x = -28 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4 + 7x + -1x = -28 + x + -1x

Combine like terms: 7x + -1x = 6x
-4 + 6x = -28 + x + -1x

Combine like terms: x + -1x = 0
-4 + 6x = -28 + 0
-4 + 6x = -28

Add '4' to each side of the equation.
-4 + 4 + 6x = -28 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = -28 + 4
6x = -28 + 4

Combine like terms: -28 + 4 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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