4(a+2)=14-2(2x-1)

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Solution for 4(a+2)=14-2(2x-1) equation:


Simplifying
4(a + 2) = 14 + -2(2x + -1)

Reorder the terms:
4(2 + a) = 14 + -2(2x + -1)
(2 * 4 + a * 4) = 14 + -2(2x + -1)
(8 + 4a) = 14 + -2(2x + -1)

Reorder the terms:
8 + 4a = 14 + -2(-1 + 2x)
8 + 4a = 14 + (-1 * -2 + 2x * -2)
8 + 4a = 14 + (2 + -4x)

Combine like terms: 14 + 2 = 16
8 + 4a = 16 + -4x

Solving
8 + 4a = 16 + -4x

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + -8 + 4a = 16 + -8 + -4x

Combine like terms: 8 + -8 = 0
0 + 4a = 16 + -8 + -4x
4a = 16 + -8 + -4x

Combine like terms: 16 + -8 = 8
4a = 8 + -4x

Divide each side by '4'.
a = 2 + -1x

Simplifying
a = 2 + -1x

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