5x-2x+4=-3x+x+9

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Solution for 5x-2x+4=-3x+x+9 equation:


Simplifying
5x + -2x + 4 = -3x + x + 9

Reorder the terms:
4 + 5x + -2x = -3x + x + 9

Combine like terms: 5x + -2x = 3x
4 + 3x = -3x + x + 9

Reorder the terms:
4 + 3x = 9 + -3x + x

Combine like terms: -3x + x = -2x
4 + 3x = 9 + -2x

Solving
4 + 3x = 9 + -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 + 3x + 2x = 9 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = 9 + 0
4 + 5x = 9

Add '-4' to each side of the equation.
4 + -4 + 5x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 9 + -4
5x = 9 + -4

Combine like terms: 9 + -4 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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