9(x+3)=5x+13

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Solution for 9(x+3)=5x+13 equation:


Simplifying
9(x + 3) = 5x + 13

Reorder the terms:
9(3 + x) = 5x + 13
(3 * 9 + x * 9) = 5x + 13
(27 + 9x) = 5x + 13

Reorder the terms:
27 + 9x = 13 + 5x

Solving
27 + 9x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
27 + 9x + -5x = 13 + 5x + -5x

Combine like terms: 9x + -5x = 4x
27 + 4x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
27 + 4x = 13 + 0
27 + 4x = 13

Add '-27' to each side of the equation.
27 + -27 + 4x = 13 + -27

Combine like terms: 27 + -27 = 0
0 + 4x = 13 + -27
4x = 13 + -27

Combine like terms: 13 + -27 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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