3a-1=2a-7

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Solution for 3a-1=2a-7 equation:


Simplifying
3a + -1 = 2a + -7

Reorder the terms:
-1 + 3a = 2a + -7

Reorder the terms:
-1 + 3a = -7 + 2a

Solving
-1 + 3a = -7 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-1 + 3a + -2a = -7 + 2a + -2a

Combine like terms: 3a + -2a = 1a
-1 + 1a = -7 + 2a + -2a

Combine like terms: 2a + -2a = 0
-1 + 1a = -7 + 0
-1 + 1a = -7

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

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

Combine like terms: -7 + 1 = -6
1a = -6

Divide each side by '1'.
a = -6

Simplifying
a = -6

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