Solve 115-15(6x-23)=5^5:5^3

$$115 - 15 ( 6 x - 23 ) = 5 ^ { 5 } : 5 ^ { 3 }$$

Solve for x

$$x = \frac{29}{6} = 4\frac{5}{6} \approx 4.833333333$$

Steps for Solving Linear Equation

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 5 to get 2.

$$115-15\left(6x-23\right)=5^{2}$$

Use the distributive property to multiply -15 by 6x-23.

$$115-90x+345=5^{2}$$

Add 115 and 345 to get 460.

$$460-90x=5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$460-90x=25$$

Subtract 460 from both sides.

$$-90x=25-460$$

Subtract 460 from 25 to get -435.

$$-90x=-435$$

Divide both sides by -90.

$$x=\frac{-435}{-90}$$

Reduce the fraction \frac{-435}{-90} to lowest terms by extracting and canceling out -15.

$$x=\frac{29}{6}$$