7x-3=33x+2

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Solution for 7x-3=33x+2 equation:


Simplifying
7x + -3 = 33x + 2

Reorder the terms:
-3 + 7x = 33x + 2

Reorder the terms:
-3 + 7x = 2 + 33x

Solving
-3 + 7x = 2 + 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
-3 + 7x + -33x = 2 + 33x + -33x

Combine like terms: 7x + -33x = -26x
-3 + -26x = 2 + 33x + -33x

Combine like terms: 33x + -33x = 0
-3 + -26x = 2 + 0
-3 + -26x = 2

Add '3' to each side of the equation.
-3 + 3 + -26x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + -26x = 2 + 3
-26x = 2 + 3

Combine like terms: 2 + 3 = 5
-26x = 5

Divide each side by '-26'.
x = -0.1923076923

Simplifying
x = -0.1923076923

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