5+x+3(-x)=3x-2x-1

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Solution for 5+x+3(-x)=3x-2x-1 equation:


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

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

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

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

Reorder the terms:
5 + -2x = -1 + 3x + -2x

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

Solving
5 + -2x = -1 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + -2x + -1x = -1 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
5 + -3x = -1 + 0
5 + -3x = -1

Add '-5' to each side of the equation.
5 + -5 + -3x = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -1 + -5
-3x = -1 + -5

Combine like terms: -1 + -5 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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