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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