3(a+2)+7=13+-(a+2)

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Solution for 3(a+2)+7=13+-(a+2) equation:


Simplifying
3(a + 2) + 7 = 13 + -1(a + 2)

Reorder the terms:
3(2 + a) + 7 = 13 + -1(a + 2)
(2 * 3 + a * 3) + 7 = 13 + -1(a + 2)
(6 + 3a) + 7 = 13 + -1(a + 2)

Reorder the terms:
6 + 7 + 3a = 13 + -1(a + 2)

Combine like terms: 6 + 7 = 13
13 + 3a = 13 + -1(a + 2)

Reorder the terms:
13 + 3a = 13 + -1(2 + a)
13 + 3a = 13 + (2 * -1 + a * -1)
13 + 3a = 13 + (-2 + -1a)

Combine like terms: 13 + -2 = 11
13 + 3a = 11 + -1a

Solving
13 + 3a = 11 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
13 + 3a + a = 11 + -1a + a

Combine like terms: 3a + a = 4a
13 + 4a = 11 + -1a + a

Combine like terms: -1a + a = 0
13 + 4a = 11 + 0
13 + 4a = 11

Add '-13' to each side of the equation.
13 + -13 + 4a = 11 + -13

Combine like terms: 13 + -13 = 0
0 + 4a = 11 + -13
4a = 11 + -13

Combine like terms: 11 + -13 = -2
4a = -2

Divide each side by '4'.
a = -0.5

Simplifying
a = -0.5

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