(2x+9)5=6x+13

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Solution for (2x+9)5=6x+13 equation:


Simplifying
(2x + 9) * 5 = 6x + 13

Reorder the terms:
(9 + 2x) * 5 = 6x + 13

Reorder the terms for easier multiplication:
5(9 + 2x) = 6x + 13
(9 * 5 + 2x * 5) = 6x + 13
(45 + 10x) = 6x + 13

Reorder the terms:
45 + 10x = 13 + 6x

Solving
45 + 10x = 13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
45 + 10x + -6x = 13 + 6x + -6x

Combine like terms: 10x + -6x = 4x
45 + 4x = 13 + 6x + -6x

Combine like terms: 6x + -6x = 0
45 + 4x = 13 + 0
45 + 4x = 13

Add '-45' to each side of the equation.
45 + -45 + 4x = 13 + -45

Combine like terms: 45 + -45 = 0
0 + 4x = 13 + -45
4x = 13 + -45

Combine like terms: 13 + -45 = -32
4x = -32

Divide each side by '4'.
x = -8

Simplifying
x = -8

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