(2x+9)5=x(4+9)

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Solution for (2x+9)5=x(4+9) equation:


Simplifying
(2x + 9) * 5 = x(4 + 9)

Reorder the terms:
(9 + 2x) * 5 = x(4 + 9)

Reorder the terms for easier multiplication:
5(9 + 2x) = x(4 + 9)
(9 * 5 + 2x * 5) = x(4 + 9)
(45 + 10x) = x(4 + 9)

Combine like terms: 4 + 9 = 13
45 + 10x = x(13)

Reorder the terms for easier multiplication:
45 + 10x = 13x

Solving
45 + 10x = 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
45 + 10x + -13x = 13x + -13x

Combine like terms: 10x + -13x = -3x
45 + -3x = 13x + -13x

Combine like terms: 13x + -13x = 0
45 + -3x = 0

Add '-45' to each side of the equation.
45 + -45 + -3x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -3x = 0 + -45
-3x = 0 + -45

Combine like terms: 0 + -45 = -45
-3x = -45

Divide each side by '-3'.
x = 15

Simplifying
x = 15

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