3a+4=7a-12

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Solution for 3a+4=7a-12 equation:


Simplifying
3a + 4 = 7a + -12

Reorder the terms:
4 + 3a = 7a + -12

Reorder the terms:
4 + 3a = -12 + 7a

Solving
4 + 3a = -12 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
4 + 3a + -7a = -12 + 7a + -7a

Combine like terms: 3a + -7a = -4a
4 + -4a = -12 + 7a + -7a

Combine like terms: 7a + -7a = 0
4 + -4a = -12 + 0
4 + -4a = -12

Add '-4' to each side of the equation.
4 + -4 + -4a = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -4a = -12 + -4
-4a = -12 + -4

Combine like terms: -12 + -4 = -16
-4a = -16

Divide each side by '-4'.
a = 4

Simplifying
a = 4

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