6(6+2x)=5(5+3x)

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Solution for 6(6+2x)=5(5+3x) equation: 


Simplifying
6(6 + 2x) = 5(5 + 3x)
(6 * 6 + 2x * 6) = 5(5 + 3x)
(36 + 12x) = 5(5 + 3x)
36 + 12x = (5 * 5 + 3x * 5)
36 + 12x = (25 + 15x)

Solving
36 + 12x = 25 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
36 + 12x + -15x = 25 + 15x + -15x

Combine like terms: 12x + -15x = -3x
36 + -3x = 25 + 15x + -15x

Combine like terms: 15x + -15x = 0
36 + -3x = 25 + 0
36 + -3x = 25

Add '-36' to each side of the equation.
36 + -36 + -3x = 25 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = 25 + -36
-3x = 25 + -36

Combine like terms: 25 + -36 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667

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