Solve 3/4(x-8)=71/2

$$\frac { 3 } { 4 ( x - 8 ) } = 7 \frac { 1 } { 2 }$$

Solve for x

$$x = \frac{81}{10} = 8\frac{1}{10} = 8.1$$

Steps for Solving Linear Equation

Variable x cannot be equal to 8 since division by zero is not defined. Multiply both sides of the equation by 4\left(x-8\right), the least common multiple of 4\left(x-8\right),2.

$$3=\left(2x-16\right)\left(7\times 2+1\right)$$

Multiply 7 and 2 to get 14.

$$3=\left(2x-16\right)\left(14+1\right)$$

Add 14 and 1 to get 15.

$$3=\left(2x-16\right)\times 15$$

Use the distributive property to multiply 2x-16 by 15.

$$3=30x-240$$

Swap sides so that all variable terms are on the left hand side.

$$30x-240=3$$

Add 240 to both sides.

$$30x=3+240$$

Add 3 and 240 to get 243.

$$30x=243$$

Divide both sides by 30.

$$x=\frac{243}{30}$$

Reduce the fraction \frac{243}{30} to lowest terms by extracting and canceling out 3.

$$x=\frac{81}{10}$$