4(x+6)=x-28

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Solution for 4(x+6)=x-28 equation:


Simplifying
4(x + 6) = x + -28

Reorder the terms:
4(6 + x) = x + -28
(6 * 4 + x * 4) = x + -28
(24 + 4x) = x + -28

Reorder the terms:
24 + 4x = -28 + x

Solving
24 + 4x = -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.
24 + 4x + -1x = -28 + x + -1x

Combine like terms: 4x + -1x = 3x
24 + 3x = -28 + x + -1x

Combine like terms: x + -1x = 0
24 + 3x = -28 + 0
24 + 3x = -28

Add '-24' to each side of the equation.
24 + -24 + 3x = -28 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = -28 + -24
3x = -28 + -24

Combine like terms: -28 + -24 = -52
3x = -52

Divide each side by '3'.
x = -17.33333333

Simplifying
x = -17.33333333

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