Solve for x
x = \frac{155}{28} = 5\frac{15}{28} \approx 5.535714286
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2\times 3+9=28\left(x-5\right)
Variable x cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-5\right), the least common multiple of x-5,2x-10.
6+9=28\left(x-5\right)
Multiply 2 and 3 to get 6.
15=28\left(x-5\right)
Add 6 and 9 to get 15.
15=28x-140
Use the distributive property to multiply 28 by x-5.
28x-140=15
Swap sides so that all variable terms are on the left hand side.
28x=15+140
Add 140 to both sides.
28x=155
Add 15 and 140 to get 155.
x=\frac{155}{28}
Divide both sides by 28.
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