12=4(1+a)-2(a-3)

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Solution for 12=4(1+a)-2(a-3) equation:


Simplifying
12 = 4(1 + a) + -2(a + -3)
12 = (1 * 4 + a * 4) + -2(a + -3)
12 = (4 + 4a) + -2(a + -3)

Reorder the terms:
12 = 4 + 4a + -2(-3 + a)
12 = 4 + 4a + (-3 * -2 + a * -2)
12 = 4 + 4a + (6 + -2a)

Reorder the terms:
12 = 4 + 6 + 4a + -2a

Combine like terms: 4 + 6 = 10
12 = 10 + 4a + -2a

Combine like terms: 4a + -2a = 2a
12 = 10 + 2a

Solving
12 = 10 + 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.
12 + -2a = 10 + 2a + -2a

Combine like terms: 2a + -2a = 0
12 + -2a = 10 + 0
12 + -2a = 10

Add '-12' to each side of the equation.
12 + -12 + -2a = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -2a = 10 + -12
-2a = 10 + -12

Combine like terms: 10 + -12 = -2
-2a = -2

Divide each side by '-2'.
a = 1

Simplifying
a = 1

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