6x-6+4x-8+3x-9+2x-10=12

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Solution for 6x-6+4x-8+3x-9+2x-10=12 equation:


Simplifying
6x + -6 + 4x + -8 + 3x + -9 + 2x + -10 = 12

Reorder the terms:
-6 + -8 + -9 + -10 + 6x + 4x + 3x + 2x = 12

Combine like terms: -6 + -8 = -14
-14 + -9 + -10 + 6x + 4x + 3x + 2x = 12

Combine like terms: -14 + -9 = -23
-23 + -10 + 6x + 4x + 3x + 2x = 12

Combine like terms: -23 + -10 = -33
-33 + 6x + 4x + 3x + 2x = 12

Combine like terms: 6x + 4x = 10x
-33 + 10x + 3x + 2x = 12

Combine like terms: 10x + 3x = 13x
-33 + 13x + 2x = 12

Combine like terms: 13x + 2x = 15x
-33 + 15x = 12

Solving
-33 + 15x = 12

Solving for variable 'x'.

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

Add '33' to each side of the equation.
-33 + 33 + 15x = 12 + 33

Combine like terms: -33 + 33 = 0
0 + 15x = 12 + 33
15x = 12 + 33

Combine like terms: 12 + 33 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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