2x+3(-x)+4=2(-x)+1

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Solution for 2x+3(-x)+4=2(-x)+1 equation:


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

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

Multiply 3 * -1
2x + -3x + 4 = 2(-1x) + 1

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

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

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

Multiply 2 * -1
4 + -1x = -2x + 1

Reorder the terms:
4 + -1x = 1 + -2x

Solving
4 + -1x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
4 + -1x + 2x = 1 + -2x + 2x

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

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

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

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

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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