4(x+9)-x=-5x-28

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Solution for 4(x+9)-x=-5x-28 equation:


Simplifying
4(x + 9) + -1x = -5x + -28

Reorder the terms:
4(9 + x) + -1x = -5x + -28
(9 * 4 + x * 4) + -1x = -5x + -28
(36 + 4x) + -1x = -5x + -28

Combine like terms: 4x + -1x = 3x
36 + 3x = -5x + -28

Reorder the terms:
36 + 3x = -28 + -5x

Solving
36 + 3x = -28 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
36 + 3x + 5x = -28 + -5x + 5x

Combine like terms: 3x + 5x = 8x
36 + 8x = -28 + -5x + 5x

Combine like terms: -5x + 5x = 0
36 + 8x = -28 + 0
36 + 8x = -28

Add '-36' to each side of the equation.
36 + -36 + 8x = -28 + -36

Combine like terms: 36 + -36 = 0
0 + 8x = -28 + -36
8x = -28 + -36

Combine like terms: -28 + -36 = -64
8x = -64

Divide each side by '8'.
x = -8

Simplifying
x = -8

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