2x+2+8x-1+5x+3=4x-8+6x+9+3x+13

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Solution for 2x+2+8x-1+5x+3=4x-8+6x+9+3x+13 equation:


Simplifying
2x + 2 + 8x + -1 + 5x + 3 = 4x + -8 + 6x + 9 + 3x + 13

Reorder the terms:
2 + -1 + 3 + 2x + 8x + 5x = 4x + -8 + 6x + 9 + 3x + 13

Combine like terms: 2 + -1 = 1
1 + 3 + 2x + 8x + 5x = 4x + -8 + 6x + 9 + 3x + 13

Combine like terms: 1 + 3 = 4
4 + 2x + 8x + 5x = 4x + -8 + 6x + 9 + 3x + 13

Combine like terms: 2x + 8x = 10x
4 + 10x + 5x = 4x + -8 + 6x + 9 + 3x + 13

Combine like terms: 10x + 5x = 15x
4 + 15x = 4x + -8 + 6x + 9 + 3x + 13

Reorder the terms:
4 + 15x = -8 + 9 + 13 + 4x + 6x + 3x

Combine like terms: -8 + 9 = 1
4 + 15x = 1 + 13 + 4x + 6x + 3x

Combine like terms: 1 + 13 = 14
4 + 15x = 14 + 4x + 6x + 3x

Combine like terms: 4x + 6x = 10x
4 + 15x = 14 + 10x + 3x

Combine like terms: 10x + 3x = 13x
4 + 15x = 14 + 13x

Solving
4 + 15x = 14 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
4 + 15x + -13x = 14 + 13x + -13x

Combine like terms: 15x + -13x = 2x
4 + 2x = 14 + 13x + -13x

Combine like terms: 13x + -13x = 0
4 + 2x = 14 + 0
4 + 2x = 14

Add '-4' to each side of the equation.
4 + -4 + 2x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 14 + -4
2x = 14 + -4

Combine like terms: 14 + -4 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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