28+x=-5(-3x+4)-8

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Solution for 28+x=-5(-3x+4)-8 equation:


Simplifying
28 + x = -5(-3x + 4) + -8

Reorder the terms:
28 + x = -5(4 + -3x) + -8
28 + x = (4 * -5 + -3x * -5) + -8
28 + x = (-20 + 15x) + -8

Reorder the terms:
28 + x = -20 + -8 + 15x

Combine like terms: -20 + -8 = -28
28 + x = -28 + 15x

Solving
28 + x = -28 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
28 + x + -15x = -28 + 15x + -15x

Combine like terms: x + -15x = -14x
28 + -14x = -28 + 15x + -15x

Combine like terms: 15x + -15x = 0
28 + -14x = -28 + 0
28 + -14x = -28

Add '-28' to each side of the equation.
28 + -28 + -14x = -28 + -28

Combine like terms: 28 + -28 = 0
0 + -14x = -28 + -28
-14x = -28 + -28

Combine like terms: -28 + -28 = -56
-14x = -56

Divide each side by '-14'.
x = 4

Simplifying
x = 4

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