2a+33=5a+7

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Solution for 2a+33=5a+7 equation:


Simplifying
2a + 33 = 5a + 7

Reorder the terms:
33 + 2a = 5a + 7

Reorder the terms:
33 + 2a = 7 + 5a

Solving
33 + 2a = 7 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
33 + 2a + -5a = 7 + 5a + -5a

Combine like terms: 2a + -5a = -3a
33 + -3a = 7 + 5a + -5a

Combine like terms: 5a + -5a = 0
33 + -3a = 7 + 0
33 + -3a = 7

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

Combine like terms: 33 + -33 = 0
0 + -3a = 7 + -33
-3a = 7 + -33

Combine like terms: 7 + -33 = -26
-3a = -26

Divide each side by '-3'.
a = 8.666666667

Simplifying
a = 8.666666667

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