13x+9=10x-33

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Solution for 13x+9=10x-33 equation:


Simplifying
13x + 9 = 10x + -33

Reorder the terms:
9 + 13x = 10x + -33

Reorder the terms:
9 + 13x = -33 + 10x

Solving
9 + 13x = -33 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
9 + 13x + -10x = -33 + 10x + -10x

Combine like terms: 13x + -10x = 3x
9 + 3x = -33 + 10x + -10x

Combine like terms: 10x + -10x = 0
9 + 3x = -33 + 0
9 + 3x = -33

Add '-9' to each side of the equation.
9 + -9 + 3x = -33 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = -33 + -9
3x = -33 + -9

Combine like terms: -33 + -9 = -42
3x = -42

Divide each side by '3'.
x = -14

Simplifying
x = -14

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