3a-(a-1)=4a+15

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Solution for 3a-(a-1)=4a+15 equation:


Simplifying
3a + -1(a + -1) = 4a + 15

Reorder the terms:
3a + -1(-1 + a) = 4a + 15
3a + (-1 * -1 + a * -1) = 4a + 15
3a + (1 + -1a) = 4a + 15

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

Combine like terms: 3a + -1a = 2a
1 + 2a = 4a + 15

Reorder the terms:
1 + 2a = 15 + 4a

Solving
1 + 2a = 15 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
1 + 2a + -4a = 15 + 4a + -4a

Combine like terms: 2a + -4a = -2a
1 + -2a = 15 + 4a + -4a

Combine like terms: 4a + -4a = 0
1 + -2a = 15 + 0
1 + -2a = 15

Add '-1' to each side of the equation.
1 + -1 + -2a = 15 + -1

Combine like terms: 1 + -1 = 0
0 + -2a = 15 + -1
-2a = 15 + -1

Combine like terms: 15 + -1 = 14
-2a = 14

Divide each side by '-2'.
a = -7

Simplifying
a = -7

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