4(5x-1)+6=-2x-42

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Solution for 4(5x-1)+6=-2x-42 equation: 


Simplifying
4(5x + -1) + 6 = -2x + -42

Reorder the terms:
4(-1 + 5x) + 6 = -2x + -42
(-1 * 4 + 5x * 4) + 6 = -2x + -42
(-4 + 20x) + 6 = -2x + -42

Reorder the terms:
-4 + 6 + 20x = -2x + -42

Combine like terms: -4 + 6 = 2
2 + 20x = -2x + -42

Reorder the terms:
2 + 20x = -42 + -2x

Solving
2 + 20x = -42 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2 + 20x + 2x = -42 + -2x + 2x

Combine like terms: 20x + 2x = 22x
2 + 22x = -42 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 22x = -42 + 0
2 + 22x = -42

Add '-2' to each side of the equation.
2 + -2 + 22x = -42 + -2

Combine like terms: 2 + -2 = 0
0 + 22x = -42 + -2
22x = -42 + -2

Combine like terms: -42 + -2 = -44
22x = -44

Divide each side by '22'.
x = -2

Simplifying
x = -2

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