2(6x+5)=3(3x+4)

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Solution for 2(6x+5)=3(3x+4) equation:


Simplifying
2(6x + 5) = 3(3x + 4)

Reorder the terms:
2(5 + 6x) = 3(3x + 4)
(5 * 2 + 6x * 2) = 3(3x + 4)
(10 + 12x) = 3(3x + 4)

Reorder the terms:
10 + 12x = 3(4 + 3x)
10 + 12x = (4 * 3 + 3x * 3)
10 + 12x = (12 + 9x)

Solving
10 + 12x = 12 + 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.
10 + 12x + -9x = 12 + 9x + -9x

Combine like terms: 12x + -9x = 3x
10 + 3x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + 3x = 12 + 0
10 + 3x = 12

Add '-10' to each side of the equation.
10 + -10 + 3x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 12 + -10
3x = 12 + -10

Combine like terms: 12 + -10 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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