Solve (15*5.2)+(x*4.6)=5*(15+x)

$$(15 \times 5.2)+(x \times 4.6)=5 \times (15+x)$$

Solve for x

$$x=7.5$$

Steps for Solving Linear Equation

Multiply 15 and 5.2 to get 78.

$$78+x\times 4.6=5\left(15+x\right)$$

Use the distributive property to multiply 5 by 15+x.

$$78+x\times 4.6=75+5x$$

Subtract 5x from both sides.

$$78+x\times 4.6-5x=75$$

Combine x\times 4.6 and -5x to get -0.4x.

$$78-0.4x=75$$

Subtract 78 from both sides.

$$-0.4x=75-78$$

Subtract 78 from 75 to get -3.

$$-0.4x=-3$$

Divide both sides by -0.4.

$$x=\frac{-3}{-0.4}$$

Expand \frac{-3}{-0.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-30}{-4}$$

Reduce the fraction \frac{-30}{-4} to lowest terms by extracting and canceling out -2.

$$x=\frac{15}{2}$$