6x-10-6x-3=12x-16+3x-6

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Solution for 6x-10-6x-3=12x-16+3x-6 equation:


Simplifying
6x + -10 + -6x + -3 = 12x + -16 + 3x + -6

Reorder the terms:
-10 + -3 + 6x + -6x = 12x + -16 + 3x + -6

Combine like terms: -10 + -3 = -13
-13 + 6x + -6x = 12x + -16 + 3x + -6

Combine like terms: 6x + -6x = 0
-13 + 0 = 12x + -16 + 3x + -6
-13 = 12x + -16 + 3x + -6

Reorder the terms:
-13 = -16 + -6 + 12x + 3x

Combine like terms: -16 + -6 = -22
-13 = -22 + 12x + 3x

Combine like terms: 12x + 3x = 15x
-13 = -22 + 15x

Solving
-13 = -22 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-13 + -15x = -22 + 15x + -15x

Combine like terms: 15x + -15x = 0
-13 + -15x = -22 + 0
-13 + -15x = -22

Add '13' to each side of the equation.
-13 + 13 + -15x = -22 + 13

Combine like terms: -13 + 13 = 0
0 + -15x = -22 + 13
-15x = -22 + 13

Combine like terms: -22 + 13 = -9
-15x = -9

Divide each side by '-15'.
x = 0.6

Simplifying
x = 0.6

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