4-(x+2)=2(3x+8)

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Solution for 4-(x+2)=2(3x+8) equation:


Simplifying
4 + -1(x + 2) = 2(3x + 8)

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

Combine like terms: 4 + -2 = 2
2 + -1x = 2(3x + 8)

Reorder the terms:
2 + -1x = 2(8 + 3x)
2 + -1x = (8 * 2 + 3x * 2)
2 + -1x = (16 + 6x)

Solving
2 + -1x = 16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + -1x + -6x = 16 + 6x + -6x

Combine like terms: -1x + -6x = -7x
2 + -7x = 16 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -7x = 16 + 0
2 + -7x = 16

Add '-2' to each side of the equation.
2 + -2 + -7x = 16 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 16 + -2
-7x = 16 + -2

Combine like terms: 16 + -2 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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