5(x+3)=9x-11

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


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

Reorder the terms:
5(3 + x) = 9x + -11
(3 * 5 + x * 5) = 9x + -11
(15 + 5x) = 9x + -11

Reorder the terms:
15 + 5x = -11 + 9x

Solving
15 + 5x = -11 + 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.
15 + 5x + -9x = -11 + 9x + -9x

Combine like terms: 5x + -9x = -4x
15 + -4x = -11 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -4x = -11 + 0
15 + -4x = -11

Add '-15' to each side of the equation.
15 + -15 + -4x = -11 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -11 + -15
-4x = -11 + -15

Combine like terms: -11 + -15 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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