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

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


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

Reorder the terms:
2(3 + x) + -4(x + -3) = 8
(3 * 2 + x * 2) + -4(x + -3) = 8
(6 + 2x) + -4(x + -3) = 8

Reorder the terms:
6 + 2x + -4(-3 + x) = 8
6 + 2x + (-3 * -4 + x * -4) = 8
6 + 2x + (12 + -4x) = 8

Reorder the terms:
6 + 12 + 2x + -4x = 8

Combine like terms: 6 + 12 = 18
18 + 2x + -4x = 8

Combine like terms: 2x + -4x = -2x
18 + -2x = 8

Solving
18 + -2x = 8

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -2x = 8 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = 8 + -18
-2x = 8 + -18

Combine like terms: 8 + -18 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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