4(a-3)+5=(3a-1)

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Solution for 4(a-3)+5=(3a-1) equation:


Simplifying
4(a + -3) + 5 = (3a + -1)

Reorder the terms:
4(-3 + a) + 5 = (3a + -1)
(-3 * 4 + a * 4) + 5 = (3a + -1)
(-12 + 4a) + 5 = (3a + -1)

Reorder the terms:
-12 + 5 + 4a = (3a + -1)

Combine like terms: -12 + 5 = -7
-7 + 4a = (3a + -1)

Reorder the terms:
-7 + 4a = (-1 + 3a)

Remove parenthesis around (-1 + 3a)
-7 + 4a = -1 + 3a

Solving
-7 + 4a = -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 + 4a + -3a = -1 + 3a + -3a

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

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

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

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

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

Divide each side by '1'.
a = 6

Simplifying
a = 6

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