a-7=-3a-1

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


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

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

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

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

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

Combine like terms: -3a + 3a = 0
-7 + 4a = -1 + 0
-7 + 4a = -1

Add '7' to each side of the equation.
-7 + 7 + 4a = -1 + 7

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

Combine like terms: -1 + 7 = 6
4a = 6

Divide each side by '4'.
a = 1.5

Simplifying
a = 1.5

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