-(x-2)=4(2x+20)

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Solution for -(x-2)=4(2x+20) equation:


Simplifying
-1(x + -2) = 4(2x + 20)

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

Reorder the terms:
2 + -1x = 4(20 + 2x)
2 + -1x = (20 * 4 + 2x * 4)
2 + -1x = (80 + 8x)

Solving
2 + -1x = 80 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + -1x + -8x = 80 + 8x + -8x

Combine like terms: -1x + -8x = -9x
2 + -9x = 80 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -9x = 80 + 0
2 + -9x = 80

Add '-2' to each side of the equation.
2 + -2 + -9x = 80 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 80 + -2
-9x = 80 + -2

Combine like terms: 80 + -2 = 78
-9x = 78

Divide each side by '-9'.
x = -8.666666667

Simplifying
x = -8.666666667

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