Solve 2(x+47)+4(6x+4x)=2416

$$2 ( x + 47 ) + 4 ( 6 x + 4 x ) = 2416$$

Solve for x

$$x = \frac{387}{7} = 55\frac{2}{7} \approx 55.285714286$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+47.

$$2x+94+4\left(6x+4x\right)=2416$$

Combine 6x and 4x to get 10x.

$$2x+94+4\times 10x=2416$$

Multiply 4 and 10 to get 40.

$$2x+94+40x=2416$$

Combine 2x and 40x to get 42x.

$$42x+94=2416$$

Subtract 94 from both sides.

$$42x=2416-94$$

Subtract 94 from 2416 to get 2322.

$$42x=2322$$

Divide both sides by 42.

$$x=\frac{2322}{42}$$

Reduce the fraction \frac{2322}{42} to lowest terms by extracting and canceling out 6.

$$x=\frac{387}{7}$$