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

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


Simplifying
4(2x + 5) + -4 = 2x + -5 + -1x

Reorder the terms:
4(5 + 2x) + -4 = 2x + -5 + -1x
(5 * 4 + 2x * 4) + -4 = 2x + -5 + -1x
(20 + 8x) + -4 = 2x + -5 + -1x

Reorder the terms:
20 + -4 + 8x = 2x + -5 + -1x

Combine like terms: 20 + -4 = 16
16 + 8x = 2x + -5 + -1x

Reorder the terms:
16 + 8x = -5 + 2x + -1x

Combine like terms: 2x + -1x = 1x
16 + 8x = -5 + 1x

Solving
16 + 8x = -5 + 1x

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.
16 + 8x + -1x = -5 + 1x + -1x

Combine like terms: 8x + -1x = 7x
16 + 7x = -5 + 1x + -1x

Combine like terms: 1x + -1x = 0
16 + 7x = -5 + 0
16 + 7x = -5

Add '-16' to each side of the equation.
16 + -16 + 7x = -5 + -16

Combine like terms: 16 + -16 = 0
0 + 7x = -5 + -16
7x = -5 + -16

Combine like terms: -5 + -16 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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