5(x+3)=11x-24

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Solution for 5(x+3)=11x-24 equation:


Simplifying
5(x + 3) = 11x + -24

Reorder the terms:
5(3 + x) = 11x + -24
(3 * 5 + x * 5) = 11x + -24
(15 + 5x) = 11x + -24

Reorder the terms:
15 + 5x = -24 + 11x

Solving
15 + 5x = -24 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
15 + 5x + -11x = -24 + 11x + -11x

Combine like terms: 5x + -11x = -6x
15 + -6x = -24 + 11x + -11x

Combine like terms: 11x + -11x = 0
15 + -6x = -24 + 0
15 + -6x = -24

Add '-15' to each side of the equation.
15 + -15 + -6x = -24 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -24 + -15
-6x = -24 + -15

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

Divide each side by '-6'.
x = 6.5

Simplifying
x = 6.5

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