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

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


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

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

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

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

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

Solving
3 + 13x = -6 + 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.
3 + 13x + -3x = -6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
3 + 10x = -6 + 0
3 + 10x = -6

Add '-3' to each side of the equation.
3 + -3 + 10x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = -6 + -3
10x = -6 + -3

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

Divide each side by '10'.
x = -0.9

Simplifying
x = -0.9

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