3x+5(8-x)=24-x

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Solution for 3x+5(8-x)=24-x equation:


Simplifying
3x + 5(8 + -1x) = 24 + -1x
3x + (8 * 5 + -1x * 5) = 24 + -1x
3x + (40 + -5x) = 24 + -1x

Reorder the terms:
40 + 3x + -5x = 24 + -1x

Combine like terms: 3x + -5x = -2x
40 + -2x = 24 + -1x

Solving
40 + -2x = 24 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
40 + -2x + x = 24 + -1x + x

Combine like terms: -2x + x = -1x
40 + -1x = 24 + -1x + x

Combine like terms: -1x + x = 0
40 + -1x = 24 + 0
40 + -1x = 24

Add '-40' to each side of the equation.
40 + -40 + -1x = 24 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = 24 + -40
-1x = 24 + -40

Combine like terms: 24 + -40 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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