-4x+7=2x-28

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Solution for -4x+7=2x-28 equation:


Simplifying
-4x + 7 = 2x + -28

Reorder the terms:
7 + -4x = 2x + -28

Reorder the terms:
7 + -4x = -28 + 2x

Solving
7 + -4x = -28 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + -4x + -2x = -28 + 2x + -2x

Combine like terms: -4x + -2x = -6x
7 + -6x = -28 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -6x = -28 + 0
7 + -6x = -28

Add '-7' to each side of the equation.
7 + -7 + -6x = -28 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = -28 + -7
-6x = -28 + -7

Combine like terms: -28 + -7 = -35
-6x = -35

Divide each side by '-6'.
x = 5.833333333

Simplifying
x = 5.833333333

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