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

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


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

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

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

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

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

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

Combine like terms: 3a + -1a = 2a
-7 + 2a = 3 + a + -1a

Combine like terms: a + -1a = 0
-7 + 2a = 3 + 0
-7 + 2a = 3

Add '7' to each side of the equation.
-7 + 7 + 2a = 3 + 7

Combine like terms: -7 + 7 = 0
0 + 2a = 3 + 7
2a = 3 + 7

Combine like terms: 3 + 7 = 10
2a = 10

Divide each side by '2'.
a = 5

Simplifying
a = 5

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