8(3x+5)-9=9(x+2)+14

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Solution for 8(3x+5)-9=9(x+2)+14 equation: 


Simplifying
8(3x + 5) + -9 = 9(x + 2) + 14

Reorder the terms:
8(5 + 3x) + -9 = 9(x + 2) + 14
(5 * 8 + 3x * 8) + -9 = 9(x + 2) + 14
(40 + 24x) + -9 = 9(x + 2) + 14

Reorder the terms:
40 + -9 + 24x = 9(x + 2) + 14

Combine like terms: 40 + -9 = 31
31 + 24x = 9(x + 2) + 14

Reorder the terms:
31 + 24x = 9(2 + x) + 14
31 + 24x = (2 * 9 + x * 9) + 14
31 + 24x = (18 + 9x) + 14

Reorder the terms:
31 + 24x = 18 + 14 + 9x

Combine like terms: 18 + 14 = 32
31 + 24x = 32 + 9x

Solving
31 + 24x = 32 + 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.
31 + 24x + -9x = 32 + 9x + -9x

Combine like terms: 24x + -9x = 15x
31 + 15x = 32 + 9x + -9x

Combine like terms: 9x + -9x = 0
31 + 15x = 32 + 0
31 + 15x = 32

Add '-31' to each side of the equation.
31 + -31 + 15x = 32 + -31

Combine like terms: 31 + -31 = 0
0 + 15x = 32 + -31
15x = 32 + -31

Combine like terms: 32 + -31 = 1
15x = 1

Divide each side by '15'.
x = 0.06666666667

Simplifying
x = 0.06666666667

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