2x+8=5x-3+2x+1+x+6

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


Simplifying
2x + 8 = 5x + -3 + 2x + 1 + x + 6

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

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

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

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

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

Combine like terms: 7x + x = 8x
8 + 2x = 4 + 8x

Solving
8 + 2x = 4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
8 + 2x + -8x = 4 + 8x + -8x

Combine like terms: 2x + -8x = -6x
8 + -6x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -6x = 4 + 0
8 + -6x = 4

Add '-8' to each side of the equation.
8 + -8 + -6x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = 4 + -8
-6x = 4 + -8

Combine like terms: 4 + -8 = -4
-6x = -4

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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