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

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


Simplifying
7(a + 2) = -2(a + -2)

Reorder the terms:
7(2 + a) = -2(a + -2)
(2 * 7 + a * 7) = -2(a + -2)
(14 + 7a) = -2(a + -2)

Reorder the terms:
14 + 7a = -2(-2 + a)
14 + 7a = (-2 * -2 + a * -2)
14 + 7a = (4 + -2a)

Solving
14 + 7a = 4 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
14 + 7a + 2a = 4 + -2a + 2a

Combine like terms: 7a + 2a = 9a
14 + 9a = 4 + -2a + 2a

Combine like terms: -2a + 2a = 0
14 + 9a = 4 + 0
14 + 9a = 4

Add '-14' to each side of the equation.
14 + -14 + 9a = 4 + -14

Combine like terms: 14 + -14 = 0
0 + 9a = 4 + -14
9a = 4 + -14

Combine like terms: 4 + -14 = -10
9a = -10

Divide each side by '9'.
a = -1.111111111

Simplifying
a = -1.111111111

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