(x-5)-(2x+3)=4x+20

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Solution for (x-5)-(2x+3)=4x+20 equation:


Simplifying
(x + -5) + -1(2x + 3) = 4x + 20

Reorder the terms:
(-5 + x) + -1(2x + 3) = 4x + 20

Remove parenthesis around (-5 + x)
-5 + x + -1(2x + 3) = 4x + 20

Reorder the terms:
-5 + x + -1(3 + 2x) = 4x + 20
-5 + x + (3 * -1 + 2x * -1) = 4x + 20
-5 + x + (-3 + -2x) = 4x + 20

Reorder the terms:
-5 + -3 + x + -2x = 4x + 20

Combine like terms: -5 + -3 = -8
-8 + x + -2x = 4x + 20

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

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

Solving
-8 + -1x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + -1x + -4x = 20 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-8 + -5x = 20 + 0
-8 + -5x = 20

Add '8' to each side of the equation.
-8 + 8 + -5x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 20 + 8
-5x = 20 + 8

Combine like terms: 20 + 8 = 28
-5x = 28

Divide each side by '-5'.
x = -5.6

Simplifying
x = -5.6

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