6+15x+10-10x-6=2+9x-6x+16

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Solution for 6+15x+10-10x-6=2+9x-6x+16 equation:


Simplifying
6 + 15x + 10 + -10x + -6 = 2 + 9x + -6x + 16

Reorder the terms:
6 + 10 + -6 + 15x + -10x = 2 + 9x + -6x + 16

Combine like terms: 6 + 10 = 16
16 + -6 + 15x + -10x = 2 + 9x + -6x + 16

Combine like terms: 16 + -6 = 10
10 + 15x + -10x = 2 + 9x + -6x + 16

Combine like terms: 15x + -10x = 5x
10 + 5x = 2 + 9x + -6x + 16

Reorder the terms:
10 + 5x = 2 + 16 + 9x + -6x

Combine like terms: 2 + 16 = 18
10 + 5x = 18 + 9x + -6x

Combine like terms: 9x + -6x = 3x
10 + 5x = 18 + 3x

Solving
10 + 5x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 5x + -3x = 18 + 3x + -3x

Combine like terms: 5x + -3x = 2x
10 + 2x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 2x = 18 + 0
10 + 2x = 18

Add '-10' to each side of the equation.
10 + -10 + 2x = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 18 + -10
2x = 18 + -10

Combine like terms: 18 + -10 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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