2x-33=3x-10

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Solution for 2x-33=3x-10 equation:


Simplifying
2x + -33 = 3x + -10

Reorder the terms:
-33 + 2x = 3x + -10

Reorder the terms:
-33 + 2x = -10 + 3x

Solving
-33 + 2x = -10 + 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.
-33 + 2x + -3x = -10 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-33 + -1x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-33 + -1x = -10 + 0
-33 + -1x = -10

Add '33' to each side of the equation.
-33 + 33 + -1x = -10 + 33

Combine like terms: -33 + 33 = 0
0 + -1x = -10 + 33
-1x = -10 + 33

Combine like terms: -10 + 33 = 23
-1x = 23

Divide each side by '-1'.
x = -23

Simplifying
x = -23

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