5(4+x)=3(3x-11)-9

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Solution for 5(4+x)=3(3x-11)-9 equation:


Simplifying
5(4 + x) = 3(3x + -11) + -9
(4 * 5 + x * 5) = 3(3x + -11) + -9
(20 + 5x) = 3(3x + -11) + -9

Reorder the terms:
20 + 5x = 3(-11 + 3x) + -9
20 + 5x = (-11 * 3 + 3x * 3) + -9
20 + 5x = (-33 + 9x) + -9

Reorder the terms:
20 + 5x = -33 + -9 + 9x

Combine like terms: -33 + -9 = -42
20 + 5x = -42 + 9x

Solving
20 + 5x = -42 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
20 + 5x + -9x = -42 + 9x + -9x

Combine like terms: 5x + -9x = -4x
20 + -4x = -42 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + -4x = -42 + 0
20 + -4x = -42

Add '-20' to each side of the equation.
20 + -20 + -4x = -42 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = -42 + -20
-4x = -42 + -20

Combine like terms: -42 + -20 = -62
-4x = -62

Divide each side by '-4'.
x = 15.5

Simplifying
x = 15.5

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