3(5-x)+6(x+4)=50

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Solution for 3(5-x)+6(x+4)=50 equation:


Simplifying
3(5 + -1x) + 6(x + 4) = 50
(5 * 3 + -1x * 3) + 6(x + 4) = 50
(15 + -3x) + 6(x + 4) = 50

Reorder the terms:
15 + -3x + 6(4 + x) = 50
15 + -3x + (4 * 6 + x * 6) = 50
15 + -3x + (24 + 6x) = 50

Reorder the terms:
15 + 24 + -3x + 6x = 50

Combine like terms: 15 + 24 = 39
39 + -3x + 6x = 50

Combine like terms: -3x + 6x = 3x
39 + 3x = 50

Solving
39 + 3x = 50

Solving for variable 'x'.

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

Add '-39' to each side of the equation.
39 + -39 + 3x = 50 + -39

Combine like terms: 39 + -39 = 0
0 + 3x = 50 + -39
3x = 50 + -39

Combine like terms: 50 + -39 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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