3(a+4)-2=a+5

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Solution for 3(a+4)-2=a+5 equation:


Simplifying
3(a + 4) + -2 = a + 5

Reorder the terms:
3(4 + a) + -2 = a + 5
(4 * 3 + a * 3) + -2 = a + 5
(12 + 3a) + -2 = a + 5

Reorder the terms:
12 + -2 + 3a = a + 5

Combine like terms: 12 + -2 = 10
10 + 3a = a + 5

Reorder the terms:
10 + 3a = 5 + a

Solving
10 + 3a = 5 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
10 + 3a + -1a = 5 + a + -1a

Combine like terms: 3a + -1a = 2a
10 + 2a = 5 + a + -1a

Combine like terms: a + -1a = 0
10 + 2a = 5 + 0
10 + 2a = 5

Add '-10' to each side of the equation.
10 + -10 + 2a = 5 + -10

Combine like terms: 10 + -10 = 0
0 + 2a = 5 + -10
2a = 5 + -10

Combine like terms: 5 + -10 = -5
2a = -5

Divide each side by '2'.
a = -2.5

Simplifying
a = -2.5

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