Solve x+(3/4x-1)=54*1/2

$$x + ( \frac { 3 } { 4 } x - 1 ) = 54 \times \frac { 1 } { 2 }$$

Solve for x

$$x=16$$

Steps for Solving Linear Equation

Combine x and \frac{3}{4}x to get \frac{7}{4}x.

$$\frac{7}{4}x-1=54\times \frac{1}{2}$$

Multiply 54 and \frac{1}{2} to get \frac{54}{2}.

$$\frac{7}{4}x-1=\frac{54}{2}$$

Divide 54 by 2 to get 27.

$$\frac{7}{4}x-1=27$$

Add 1 to both sides.

$$\frac{7}{4}x=27+1$$

Add 27 and 1 to get 28.

$$\frac{7}{4}x=28$$

Multiply both sides by \frac{4}{7}, the reciprocal of \frac{7}{4}.

$$x=28\times \frac{4}{7}$$

Express 28\times \frac{4}{7} as a single fraction.

$$x=\frac{28\times 4}{7}$$

Multiply 28 and 4 to get 112.

$$x=\frac{112}{7}$$

Divide 112 by 7 to get 16.

$$x=16$$