5x-4(2x+1)=-(x+20)

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Solution for 5x-4(2x+1)=-(x+20) equation:


Simplifying
5x + -4(2x + 1) = -1(x + 20)

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

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

Combine like terms: 5x + -8x = -3x
-4 + -3x = -1(x + 20)

Reorder the terms:
-4 + -3x = -1(20 + x)
-4 + -3x = (20 * -1 + x * -1)
-4 + -3x = (-20 + -1x)

Solving
-4 + -3x = -20 + -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.
-4 + -3x + x = -20 + -1x + x

Combine like terms: -3x + x = -2x
-4 + -2x = -20 + -1x + x

Combine like terms: -1x + x = 0
-4 + -2x = -20 + 0
-4 + -2x = -20

Add '4' to each side of the equation.
-4 + 4 + -2x = -20 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -20 + 4
-2x = -20 + 4

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

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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