4*(a+3)-5=3*a+8

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Solution for 4*(a+3)-5=3*a+8 equation:


Simplifying
4(a + 3) + -5 = 3a + 8

Reorder the terms:
4(3 + a) + -5 = 3a + 8
(3 * 4 + a * 4) + -5 = 3a + 8
(12 + 4a) + -5 = 3a + 8

Reorder the terms:
12 + -5 + 4a = 3a + 8

Combine like terms: 12 + -5 = 7
7 + 4a = 3a + 8

Reorder the terms:
7 + 4a = 8 + 3a

Solving
7 + 4a = 8 + 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 = 8 + 3a + -3a

Combine like terms: 4a + -3a = 1a
7 + 1a = 8 + 3a + -3a

Combine like terms: 3a + -3a = 0
7 + 1a = 8 + 0
7 + 1a = 8

Add '-7' to each side of the equation.
7 + -7 + 1a = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 1a = 8 + -7
1a = 8 + -7

Combine like terms: 8 + -7 = 1
1a = 1

Divide each side by '1'.
a = 1

Simplifying
a = 1

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