-4(2x-5)+3x=x-28

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Solution for -4(2x-5)+3x=x-28 equation:


Simplifying
-4(2x + -5) + 3x = x + -28

Reorder the terms:
-4(-5 + 2x) + 3x = x + -28
(-5 * -4 + 2x * -4) + 3x = x + -28
(20 + -8x) + 3x = x + -28

Combine like terms: -8x + 3x = -5x
20 + -5x = x + -28

Reorder the terms:
20 + -5x = -28 + x

Solving
20 + -5x = -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.
20 + -5x + -1x = -28 + x + -1x

Combine like terms: -5x + -1x = -6x
20 + -6x = -28 + x + -1x

Combine like terms: x + -1x = 0
20 + -6x = -28 + 0
20 + -6x = -28

Add '-20' to each side of the equation.
20 + -20 + -6x = -28 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = -28 + -20
-6x = -28 + -20

Combine like terms: -28 + -20 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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