5a+2-3a=a+7

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Solution for 5a+2-3a=a+7 equation: 


Simplifying
5a + 2 + -3a = a + 7

Reorder the terms:
2 + 5a + -3a = a + 7

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

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

Solving
2 + 2a = 7 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
2 + 2a + -1a = 7 + a + -1a

Combine like terms: 2a + -1a = 1a
2 + 1a = 7 + a + -1a

Combine like terms: a + -1a = 0
2 + 1a = 7 + 0
2 + 1a = 7

Add '-2' to each side of the equation.
2 + -2 + 1a = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 1a = 7 + -2
1a = 7 + -2

Combine like terms: 7 + -2 = 5
1a = 5

Divide each side by '1'.
a = 5

Simplifying
a = 5

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