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

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


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

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

Combine like terms: 8 + -8 = 0
0 + -2x = 3(2 + -1x)
-2x = 3(2 + -1x)
-2x = (2 * 3 + -1x * 3)
-2x = (6 + -3x)

Solving
-2x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2x + 3x = 6 + -3x + 3x

Combine like terms: -2x + 3x = 1x
1x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
1x = 6 + 0
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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