24x+16(15-x)=286

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Solution for 24x+16(15-x)=286 equation:


Simplifying
24x + 16(15 + -1x) = 286
24x + (15 * 16 + -1x * 16) = 286
24x + (240 + -16x) = 286

Reorder the terms:
240 + 24x + -16x = 286

Combine like terms: 24x + -16x = 8x
240 + 8x = 286

Solving
240 + 8x = 286

Solving for variable 'x'.

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

Add '-240' to each side of the equation.
240 + -240 + 8x = 286 + -240

Combine like terms: 240 + -240 = 0
0 + 8x = 286 + -240
8x = 286 + -240

Combine like terms: 286 + -240 = 46
8x = 46

Divide each side by '8'.
x = 5.75

Simplifying
x = 5.75

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