10-4(a+2)=7+a

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Solution for 10-4(a+2)=7+a equation: 


Simplifying
10 + -4(a + 2) = 7 + a

Reorder the terms:
10 + -4(2 + a) = 7 + a
10 + (2 * -4 + a * -4) = 7 + a
10 + (-8 + -4a) = 7 + a

Combine like terms: 10 + -8 = 2
2 + -4a = 7 + a

Solving
2 + -4a = 7 + 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.
2 + -4a + -1a = 7 + a + -1a

Combine like terms: -4a + -1a = -5a
2 + -5a = 7 + a + -1a

Combine like terms: a + -1a = 0
2 + -5a = 7 + 0
2 + -5a = 7

Add '-2' to each side of the equation.
2 + -2 + -5a = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -5a = 7 + -2
-5a = 7 + -2

Combine like terms: 7 + -2 = 5
-5a = 5

Divide each side by '-5'.
a = -1

Simplifying
a = -1

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