2x+3x+6=10x-16

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Solution for 2x+3x+6=10x-16 equation:


Simplifying
2x + 3x + 6 = 10x + -16

Reorder the terms:
6 + 2x + 3x = 10x + -16

Combine like terms: 2x + 3x = 5x
6 + 5x = 10x + -16

Reorder the terms:
6 + 5x = -16 + 10x

Solving
6 + 5x = -16 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 5x + -10x = -16 + 10x + -10x

Combine like terms: 5x + -10x = -5x
6 + -5x = -16 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -5x = -16 + 0
6 + -5x = -16

Add '-6' to each side of the equation.
6 + -6 + -5x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -16 + -6
-5x = -16 + -6

Combine like terms: -16 + -6 = -22
-5x = -22

Divide each side by '-5'.
x = 4.4

Simplifying
x = 4.4

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