8+5(2+3x)=6(2x+9)

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Solution for 8+5(2+3x)=6(2x+9) equation:


Simplifying
8 + 5(2 + 3x) = 6(2x + 9)
8 + (2 * 5 + 3x * 5) = 6(2x + 9)
8 + (10 + 15x) = 6(2x + 9)

Combine like terms: 8 + 10 = 18
18 + 15x = 6(2x + 9)

Reorder the terms:
18 + 15x = 6(9 + 2x)
18 + 15x = (9 * 6 + 2x * 6)
18 + 15x = (54 + 12x)

Solving
18 + 15x = 54 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
18 + 15x + -12x = 54 + 12x + -12x

Combine like terms: 15x + -12x = 3x
18 + 3x = 54 + 12x + -12x

Combine like terms: 12x + -12x = 0
18 + 3x = 54 + 0
18 + 3x = 54

Add '-18' to each side of the equation.
18 + -18 + 3x = 54 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = 54 + -18
3x = 54 + -18

Combine like terms: 54 + -18 = 36
3x = 36

Divide each side by '3'.
x = 12

Simplifying
x = 12

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