3a+7=15-a+4

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Solution for 3a+7=15-a+4 equation:


Simplifying
3a + 7 = 15 + -1a + 4

Reorder the terms:
7 + 3a = 15 + -1a + 4

Reorder the terms:
7 + 3a = 15 + 4 + -1a

Combine like terms: 15 + 4 = 19
7 + 3a = 19 + -1a

Solving
7 + 3a = 19 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
7 + 3a + a = 19 + -1a + a

Combine like terms: 3a + a = 4a
7 + 4a = 19 + -1a + a

Combine like terms: -1a + a = 0
7 + 4a = 19 + 0
7 + 4a = 19

Add '-7' to each side of the equation.
7 + -7 + 4a = 19 + -7

Combine like terms: 7 + -7 = 0
0 + 4a = 19 + -7
4a = 19 + -7

Combine like terms: 19 + -7 = 12
4a = 12

Divide each side by '4'.
a = 3

Simplifying
a = 3

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