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

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


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

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

Reorder the terms:
12 + 6x = 5(3 + x)
12 + 6x = (3 * 5 + x * 5)
12 + 6x = (15 + 5x)

Solving
12 + 6x = 15 + 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.
12 + 6x + -5x = 15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
12 + 1x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 1x = 15 + 0
12 + 1x = 15

Add '-12' to each side of the equation.
12 + -12 + 1x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 15 + -12
1x = 15 + -12

Combine like terms: 15 + -12 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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