5x-2x+4=3x+3+x-1

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Solution for 5x-2x+4=3x+3+x-1 equation:


Simplifying
5x + -2x + 4 = 3x + 3 + x + -1

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

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

Reorder the terms:
4 + 3x = 3 + -1 + 3x + x

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

Combine like terms: 3x + x = 4x
4 + 3x = 2 + 4x

Solving
4 + 3x = 2 + 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.
4 + 3x + -4x = 2 + 4x + -4x

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

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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