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

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


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

Reorder the terms:
5(-2 + x) + -2(x + 4) = 6
(-2 * 5 + x * 5) + -2(x + 4) = 6
(-10 + 5x) + -2(x + 4) = 6

Reorder the terms:
-10 + 5x + -2(4 + x) = 6
-10 + 5x + (4 * -2 + x * -2) = 6
-10 + 5x + (-8 + -2x) = 6

Reorder the terms:
-10 + -8 + 5x + -2x = 6

Combine like terms: -10 + -8 = -18
-18 + 5x + -2x = 6

Combine like terms: 5x + -2x = 3x
-18 + 3x = 6

Solving
-18 + 3x = 6

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 + 3x = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = 6 + 18
3x = 6 + 18

Combine like terms: 6 + 18 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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