What is the answer to 295=48^2((8+x))/(11x+24) ?

The answer to 295=48^2((8+x))/(11x+24) is x= 11352/941

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295=48^2((8+x))/(11x+24)

295 = 4 8^{2} \frac{( 8 + x )}{11 x + 24}

x = \frac{11352}{941}

Decimal Notation

x = 12.06376 \dots

Solution steps

295 = 4 8^{2} \cdot \frac{( 8 + x )}{11 x + 24}

Simplify

4 8^{2} \cdot \frac{8 + x}{11 x + 24} : \frac{2304 ( 8 + x )}{11 x + 24}

295 = \frac{2304 ( 8 + x )}{11 x + 24}

Multiply both sides by

11 x + 24

295 (11 x + 24) = 2304 (8 + x)

Expand

295 (11 x + 24) : 3245 x + 7080

Expand

2304 (8 + x) : 18432 + 2304 x

3245 x + 7080 = 18432 + 2304 x

Move

7080

to the right side

3245 x = 2304 x + 11352

Move

2304 x

to the left side

941 x = 11352

Divide both sides by

941

x = \frac{11352}{941}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{24}{11}

Combine undefined points with solutions:

x = \frac{11352}{941}

\frac{42}{t} = 7

\frac{x + 1}{x - 1} = \frac{10}{5}

\frac{x ^{4} - 1}{x - 1} = 0

\frac{x - 2}{x - 2} = 1

\frac{3}{7 x - 1} = \frac{2}{3 x + 2}

What is the answer to 295=48^2((8+x))/(11x+24) ?
The answer to 295=48^2((8+x))/(11x+24) is x= 11352/941
Solve for x: 295=48^2((8+x))/(11x+24)
The solution is x= 11352/941