4x+12=7x-28

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Solution for 4x+12=7x-28 equation:


Simplifying
4x + 12 = 7x + -28

Reorder the terms:
12 + 4x = 7x + -28

Reorder the terms:
12 + 4x = -28 + 7x

Solving
12 + 4x = -28 + 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.
12 + 4x + -7x = -28 + 7x + -7x

Combine like terms: 4x + -7x = -3x
12 + -3x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -3x = -28 + 0
12 + -3x = -28

Add '-12' to each side of the equation.
12 + -12 + -3x = -28 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -28 + -12
-3x = -28 + -12

Combine like terms: -28 + -12 = -40
-3x = -40

Divide each side by '-3'.
x = 13.33333333

Simplifying
x = 13.33333333

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