7x-4=5x-28

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Solution for 7x-4=5x-28 equation:


Simplifying
7x + -4 = 5x + -28

Reorder the terms:
-4 + 7x = 5x + -28

Reorder the terms:
-4 + 7x = -28 + 5x

Solving
-4 + 7x = -28 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + 7x + -5x = -28 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-4 + 2x = -28 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 2x = -28 + 0
-4 + 2x = -28

Add '4' to each side of the equation.
-4 + 4 + 2x = -28 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = -28 + 4
2x = -28 + 4

Combine like terms: -28 + 4 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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