Solve x=(8(x+4))/11

$$x = \frac { ( 8 ( x + 4 ) ) } { 11 }$$

Solve for x

$$x = \frac{32}{3} = 10\frac{2}{3} \approx 10.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by x+4.

$$x=\frac{8x+32}{11}$$

Divide each term of 8x+32 by 11 to get \frac{8}{11}x+\frac{32}{11}.

$$x=\frac{8}{11}x+\frac{32}{11}$$

Subtract \frac{8}{11}x from both sides.

$$x-\frac{8}{11}x=\frac{32}{11}$$

Combine x and -\frac{8}{11}x to get \frac{3}{11}x.

$$\frac{3}{11}x=\frac{32}{11}$$

Multiply both sides by \frac{11}{3}, the reciprocal of \frac{3}{11}.

$$x=\frac{32}{11}\times \frac{11}{3}$$

Multiply \frac{32}{11} times \frac{11}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{32\times 11}{11\times 3}$$

Cancel out 11 in both numerator and denominator.

$$x=\frac{32}{3}$$