7-4(1+a)=18+a

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Solution for 7-4(1+a)=18+a equation:


Simplifying
7 + -4(1 + a) = 18 + a
7 + (1 * -4 + a * -4) = 18 + a
7 + (-4 + -4a) = 18 + a

Combine like terms: 7 + -4 = 3
3 + -4a = 18 + a

Solving
3 + -4a = 18 + 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.
3 + -4a + -1a = 18 + a + -1a

Combine like terms: -4a + -1a = -5a
3 + -5a = 18 + a + -1a

Combine like terms: a + -1a = 0
3 + -5a = 18 + 0
3 + -5a = 18

Add '-3' to each side of the equation.
3 + -3 + -5a = 18 + -3

Combine like terms: 3 + -3 = 0
0 + -5a = 18 + -3
-5a = 18 + -3

Combine like terms: 18 + -3 = 15
-5a = 15

Divide each side by '-5'.
a = -3

Simplifying
a = -3

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