6-4(x+8)=2(5-x)

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Solution for 6-4(x+8)=2(5-x) equation:


Simplifying
6 + -4(x + 8) = 2(5 + -1x)

Reorder the terms:
6 + -4(8 + x) = 2(5 + -1x)
6 + (8 * -4 + x * -4) = 2(5 + -1x)
6 + (-32 + -4x) = 2(5 + -1x)

Combine like terms: 6 + -32 = -26
-26 + -4x = 2(5 + -1x)
-26 + -4x = (5 * 2 + -1x * 2)
-26 + -4x = (10 + -2x)

Solving
-26 + -4x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-26 + -4x + 2x = 10 + -2x + 2x

Combine like terms: -4x + 2x = -2x
-26 + -2x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-26 + -2x = 10 + 0
-26 + -2x = 10

Add '26' to each side of the equation.
-26 + 26 + -2x = 10 + 26

Combine like terms: -26 + 26 = 0
0 + -2x = 10 + 26
-2x = 10 + 26

Combine like terms: 10 + 26 = 36
-2x = 36

Divide each side by '-2'.
x = -18

Simplifying
x = -18

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