x+2x+3+3+4=5x+6x+7+8

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Solution for x+2x+3+3+4=5x+6x+7+8 equation:


Simplifying
x + 2x + 3 + 3 + 4 = 5x + 6x + 7 + 8

Reorder the terms:
3 + 3 + 4 + x + 2x = 5x + 6x + 7 + 8

Combine like terms: 3 + 3 = 6
6 + 4 + x + 2x = 5x + 6x + 7 + 8

Combine like terms: 6 + 4 = 10
10 + x + 2x = 5x + 6x + 7 + 8

Combine like terms: x + 2x = 3x
10 + 3x = 5x + 6x + 7 + 8

Reorder the terms:
10 + 3x = 7 + 8 + 5x + 6x

Combine like terms: 7 + 8 = 15
10 + 3x = 15 + 5x + 6x

Combine like terms: 5x + 6x = 11x
10 + 3x = 15 + 11x

Solving
10 + 3x = 15 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
10 + 3x + -11x = 15 + 11x + -11x

Combine like terms: 3x + -11x = -8x
10 + -8x = 15 + 11x + -11x

Combine like terms: 11x + -11x = 0
10 + -8x = 15 + 0
10 + -8x = 15

Add '-10' to each side of the equation.
10 + -10 + -8x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = 15 + -10
-8x = 15 + -10

Combine like terms: 15 + -10 = 5
-8x = 5

Divide each side by '-8'.
x = -0.625

Simplifying
x = -0.625

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