10x-2+3x+9=3x-3

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Solution for 10x-2+3x+9=3x-3 equation:


Simplifying
10x + -2 + 3x + 9 = 3x + -3

Reorder the terms:
-2 + 9 + 10x + 3x = 3x + -3

Combine like terms: -2 + 9 = 7
7 + 10x + 3x = 3x + -3

Combine like terms: 10x + 3x = 13x
7 + 13x = 3x + -3

Reorder the terms:
7 + 13x = -3 + 3x

Solving
7 + 13x = -3 + 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.
7 + 13x + -3x = -3 + 3x + -3x

Combine like terms: 13x + -3x = 10x
7 + 10x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + 10x = -3 + 0
7 + 10x = -3

Add '-7' to each side of the equation.
7 + -7 + 10x = -3 + -7

Combine like terms: 7 + -7 = 0
0 + 10x = -3 + -7
10x = -3 + -7

Combine like terms: -3 + -7 = -10
10x = -10

Divide each side by '10'.
x = -1

Simplifying
x = -1

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