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

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


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

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

Multiply 3 * -1
2x + -3x + -5 = 4x + 20

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

Combine like terms: 2x + -3x = -1x
-5 + -1x = 4x + 20

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

Solving
-5 + -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.
-5 + -1x + -4x = 20 + 4x + -4x

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

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

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

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

Combine like terms: 20 + 5 = 25
-5x = 25

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

Simplifying
x = -5

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