-4x+7=3x-28

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Solution for -4x+7=3x-28 equation:


Simplifying
-4x + 7 = 3x + -28

Reorder the terms:
7 + -4x = 3x + -28

Reorder the terms:
7 + -4x = -28 + 3x

Solving
7 + -4x = -28 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + -4x + -3x = -28 + 3x + -3x

Combine like terms: -4x + -3x = -7x
7 + -7x = -28 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -7x = -28 + 0
7 + -7x = -28

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

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

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

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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