7a-2=3a+10

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Solution for 7a-2=3a+10 equation:


Simplifying
7a + -2 = 3a + 10

Reorder the terms:
-2 + 7a = 3a + 10

Reorder the terms:
-2 + 7a = 10 + 3a

Solving
-2 + 7a = 10 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-2 + 7a + -3a = 10 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-2 + 4a = 10 + 3a + -3a

Combine like terms: 3a + -3a = 0
-2 + 4a = 10 + 0
-2 + 4a = 10

Add '2' to each side of the equation.
-2 + 2 + 4a = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 4a = 10 + 2
4a = 10 + 2

Combine like terms: 10 + 2 = 12
4a = 12

Divide each side by '4'.
a = 3

Simplifying
a = 3

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