10-3x+3+6x=2x+19+5x+8

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Solution for 10-3x+3+6x=2x+19+5x+8 equation:


Simplifying
10 + -3x + 3 + 6x = 2x + 19 + 5x + 8

Reorder the terms:
10 + 3 + -3x + 6x = 2x + 19 + 5x + 8

Combine like terms: 10 + 3 = 13
13 + -3x + 6x = 2x + 19 + 5x + 8

Combine like terms: -3x + 6x = 3x
13 + 3x = 2x + 19 + 5x + 8

Reorder the terms:
13 + 3x = 19 + 8 + 2x + 5x

Combine like terms: 19 + 8 = 27
13 + 3x = 27 + 2x + 5x

Combine like terms: 2x + 5x = 7x
13 + 3x = 27 + 7x

Solving
13 + 3x = 27 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
13 + 3x + -7x = 27 + 7x + -7x

Combine like terms: 3x + -7x = -4x
13 + -4x = 27 + 7x + -7x

Combine like terms: 7x + -7x = 0
13 + -4x = 27 + 0
13 + -4x = 27

Add '-13' to each side of the equation.
13 + -13 + -4x = 27 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = 27 + -13
-4x = 27 + -13

Combine like terms: 27 + -13 = 14
-4x = 14

Divide each side by '-4'.
x = -3.5

Simplifying
x = -3.5

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