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

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


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

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

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

Combine like terms: 3x + 5x = 8x
5 + 8x = 5x + -3 + x + 9

Reorder the terms:
5 + 8x = -3 + 9 + 5x + x

Combine like terms: -3 + 9 = 6
5 + 8x = 6 + 5x + x

Combine like terms: 5x + x = 6x
5 + 8x = 6 + 6x

Solving
5 + 8x = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 8x + -6x = 6 + 6x + -6x

Combine like terms: 8x + -6x = 2x
5 + 2x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + 2x = 6 + 0
5 + 2x = 6

Add '-5' to each side of the equation.
5 + -5 + 2x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 6 + -5
2x = 6 + -5

Combine like terms: 6 + -5 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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