4(5x+2)-6=-x-40

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Solution for 4(5x+2)-6=-x-40 equation:


Simplifying
4(5x + 2) + -6 = -1x + -40

Reorder the terms:
4(2 + 5x) + -6 = -1x + -40
(2 * 4 + 5x * 4) + -6 = -1x + -40
(8 + 20x) + -6 = -1x + -40

Reorder the terms:
8 + -6 + 20x = -1x + -40

Combine like terms: 8 + -6 = 2
2 + 20x = -1x + -40

Reorder the terms:
2 + 20x = -40 + -1x

Solving
2 + 20x = -40 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 20x + x = -40 + -1x + x

Combine like terms: 20x + x = 21x
2 + 21x = -40 + -1x + x

Combine like terms: -1x + x = 0
2 + 21x = -40 + 0
2 + 21x = -40

Add '-2' to each side of the equation.
2 + -2 + 21x = -40 + -2

Combine like terms: 2 + -2 = 0
0 + 21x = -40 + -2
21x = -40 + -2

Combine like terms: -40 + -2 = -42
21x = -42

Divide each side by '21'.
x = -2

Simplifying
x = -2

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