2x-10+5x-33=3x-3

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Solution for 2x-10+5x-33=3x-3 equation:


Simplifying
2x + -10 + 5x + -33 = 3x + -3

Reorder the terms:
-10 + -33 + 2x + 5x = 3x + -3

Combine like terms: -10 + -33 = -43
-43 + 2x + 5x = 3x + -3

Combine like terms: 2x + 5x = 7x
-43 + 7x = 3x + -3

Reorder the terms:
-43 + 7x = -3 + 3x

Solving
-43 + 7x = -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.
-43 + 7x + -3x = -3 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-43 + 4x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-43 + 4x = -3 + 0
-43 + 4x = -3

Add '43' to each side of the equation.
-43 + 43 + 4x = -3 + 43

Combine like terms: -43 + 43 = 0
0 + 4x = -3 + 43
4x = -3 + 43

Combine like terms: -3 + 43 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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