2x+78=5x+33

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Solution for 2x+78=5x+33 equation:


Simplifying
2x + 78 = 5x + 33

Reorder the terms:
78 + 2x = 5x + 33

Reorder the terms:
78 + 2x = 33 + 5x

Solving
78 + 2x = 33 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
78 + 2x + -5x = 33 + 5x + -5x

Combine like terms: 2x + -5x = -3x
78 + -3x = 33 + 5x + -5x

Combine like terms: 5x + -5x = 0
78 + -3x = 33 + 0
78 + -3x = 33

Add '-78' to each side of the equation.
78 + -78 + -3x = 33 + -78

Combine like terms: 78 + -78 = 0
0 + -3x = 33 + -78
-3x = 33 + -78

Combine like terms: 33 + -78 = -45
-3x = -45

Divide each side by '-3'.
x = 15

Simplifying
x = 15

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