3(5-x)=8-2x

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Solution for 3(5-x)=8-2x equation:


Simplifying
3(5 + -1x) = 8 + -2x
(5 * 3 + -1x * 3) = 8 + -2x
(15 + -3x) = 8 + -2x

Solving
15 + -3x = 8 + -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.
15 + -3x + 2x = 8 + -2x + 2x

Combine like terms: -3x + 2x = -1x
15 + -1x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + -1x = 8 + 0
15 + -1x = 8

Add '-15' to each side of the equation.
15 + -15 + -1x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 8 + -15
-1x = 8 + -15

Combine like terms: 8 + -15 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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