5(a+1)-15=3(a+2)+4

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Solution for 5(a+1)-15=3(a+2)+4 equation:


Simplifying
5(a + 1) + -15 = 3(a + 2) + 4

Reorder the terms:
5(1 + a) + -15 = 3(a + 2) + 4
(1 * 5 + a * 5) + -15 = 3(a + 2) + 4
(5 + 5a) + -15 = 3(a + 2) + 4

Reorder the terms:
5 + -15 + 5a = 3(a + 2) + 4

Combine like terms: 5 + -15 = -10
-10 + 5a = 3(a + 2) + 4

Reorder the terms:
-10 + 5a = 3(2 + a) + 4
-10 + 5a = (2 * 3 + a * 3) + 4
-10 + 5a = (6 + 3a) + 4

Reorder the terms:
-10 + 5a = 6 + 4 + 3a

Combine like terms: 6 + 4 = 10
-10 + 5a = 10 + 3a

Solving
-10 + 5a = 10 + 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.
-10 + 5a + -3a = 10 + 3a + -3a

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

Combine like terms: 3a + -3a = 0
-10 + 2a = 10 + 0
-10 + 2a = 10

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

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

Combine like terms: 10 + 10 = 20
2a = 20

Divide each side by '2'.
a = 10

Simplifying
a = 10

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