7x+33=8x-3

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Solution for 7x+33=8x-3 equation:


Simplifying
7x + 33 = 8x + -3

Reorder the terms:
33 + 7x = 8x + -3

Reorder the terms:
33 + 7x = -3 + 8x

Solving
33 + 7x = -3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
33 + 7x + -8x = -3 + 8x + -8x

Combine like terms: 7x + -8x = -1x
33 + -1x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
33 + -1x = -3 + 0
33 + -1x = -3

Add '-33' to each side of the equation.
33 + -33 + -1x = -3 + -33

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

Combine like terms: -3 + -33 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36

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