5(x+2)-2(x-4)=10

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Solution for 5(x+2)-2(x-4)=10 equation: 


Simplifying
5(x + 2) + -2(x + -4) = 10

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

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

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

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

Combine like terms: 5x + -2x = 3x
18 + 3x = 10

Solving
18 + 3x = 10

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 = 10 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = 10 + -18
3x = 10 + -18

Combine like terms: 10 + -18 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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