x*5+33=x*7-5

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Solution for x*5+33=x*7-5 equation:


Simplifying
x * 5 + 33 = x * 7 + -5

Reorder the terms for easier multiplication:
5x + 33 = x * 7 + -5

Reorder the terms:
33 + 5x = x * 7 + -5

Reorder the terms for easier multiplication:
33 + 5x = 7x + -5

Reorder the terms:
33 + 5x = -5 + 7x

Solving
33 + 5x = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
33 + 5x + -7x = -5 + 7x + -7x

Combine like terms: 5x + -7x = -2x
33 + -2x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
33 + -2x = -5 + 0
33 + -2x = -5

Add '-33' to each side of the equation.
33 + -33 + -2x = -5 + -33

Combine like terms: 33 + -33 = 0
0 + -2x = -5 + -33
-2x = -5 + -33

Combine like terms: -5 + -33 = -38
-2x = -38

Divide each side by '-2'.
x = 19

Simplifying
x = 19

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