2(1-a)=3(1+2a)+5

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Solution for 2(1-a)=3(1+2a)+5 equation: 


Simplifying
2(1 + -1a) = 3(1 + 2a) + 5
(1 * 2 + -1a * 2) = 3(1 + 2a) + 5
(2 + -2a) = 3(1 + 2a) + 5
2 + -2a = (1 * 3 + 2a * 3) + 5
2 + -2a = (3 + 6a) + 5

Reorder the terms:
2 + -2a = 3 + 5 + 6a

Combine like terms: 3 + 5 = 8
2 + -2a = 8 + 6a

Solving
2 + -2a = 8 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
2 + -2a + -6a = 8 + 6a + -6a

Combine like terms: -2a + -6a = -8a
2 + -8a = 8 + 6a + -6a

Combine like terms: 6a + -6a = 0
2 + -8a = 8 + 0
2 + -8a = 8

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

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

Combine like terms: 8 + -2 = 6
-8a = 6

Divide each side by '-8'.
a = -0.75

Simplifying
a = -0.75

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