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

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


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

Reorder the terms:
2(-4 + a) = 3(1 + a)
(-4 * 2 + a * 2) = 3(1 + a)
(-8 + 2a) = 3(1 + a)
-8 + 2a = (1 * 3 + a * 3)
-8 + 2a = (3 + 3a)

Solving
-8 + 2a = 3 + 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.
-8 + 2a + -3a = 3 + 3a + -3a

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

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

Add '8' to each side of the equation.
-8 + 8 + -1a = 3 + 8

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

Combine like terms: 3 + 8 = 11
-1a = 11

Divide each side by '-1'.
a = -11

Simplifying
a = -11

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