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

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


Simplifying
2(a + 1) = 4(a + -2) + -1a

Reorder the terms:
2(1 + a) = 4(a + -2) + -1a
(1 * 2 + a * 2) = 4(a + -2) + -1a
(2 + 2a) = 4(a + -2) + -1a

Reorder the terms:
2 + 2a = 4(-2 + a) + -1a
2 + 2a = (-2 * 4 + a * 4) + -1a
2 + 2a = (-8 + 4a) + -1a

Combine like terms: 4a + -1a = 3a
2 + 2a = -8 + 3a

Solving
2 + 2a = -8 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
2 + 2a + -3a = -8 + 3a + -3a

Combine like terms: 2a + -3a = -1a
2 + -1a = -8 + 3a + -3a

Combine like terms: 3a + -3a = 0
2 + -1a = -8 + 0
2 + -1a = -8

Add '-2' to each side of the equation.
2 + -2 + -1a = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = -8 + -2
-1a = -8 + -2

Combine like terms: -8 + -2 = -10
-1a = -10

Divide each side by '-1'.
a = 10

Simplifying
a = 10

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