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

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


Simplifying
5(2 + -1x) + 8 = 6 + -2x
(2 * 5 + -1x * 5) + 8 = 6 + -2x
(10 + -5x) + 8 = 6 + -2x

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

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

Solving
18 + -5x = 6 + -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.
18 + -5x + 2x = 6 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
18 + -3x = 6 + 0
18 + -3x = 6

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 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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