3a+1=7a-9

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Solution for 3a+1=7a-9 equation:


Simplifying
3a + 1 = 7a + -9

Reorder the terms:
1 + 3a = 7a + -9

Reorder the terms:
1 + 3a = -9 + 7a

Solving
1 + 3a = -9 + 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.
1 + 3a + -7a = -9 + 7a + -7a

Combine like terms: 3a + -7a = -4a
1 + -4a = -9 + 7a + -7a

Combine like terms: 7a + -7a = 0
1 + -4a = -9 + 0
1 + -4a = -9

Add '-1' to each side of the equation.
1 + -1 + -4a = -9 + -1

Combine like terms: 1 + -1 = 0
0 + -4a = -9 + -1
-4a = -9 + -1

Combine like terms: -9 + -1 = -10
-4a = -10

Divide each side by '-4'.
a = 2.5

Simplifying
a = 2.5

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