Solve (x)=-1/2(x-1)+2

$$( x ) = - \frac { 1 } { 2 } ( x - 1 ) + 2$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{2} by x-1.

$$x=-\frac{1}{2}x-\frac{1}{2}\left(-1\right)+2$$

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

$$x=-\frac{1}{2}x+\frac{1}{2}+2$$

Convert 2 to fraction \frac{4}{2}.

$$x=-\frac{1}{2}x+\frac{1}{2}+\frac{4}{2}$$

Since \frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$x=-\frac{1}{2}x+\frac{1+4}{2}$$

Add 1 and 4 to get 5.

$$x=-\frac{1}{2}x+\frac{5}{2}$$

Add \frac{1}{2}x to both sides.

$$x+\frac{1}{2}x=\frac{5}{2}$$

Combine x and \frac{1}{2}x to get \frac{3}{2}x.

$$\frac{3}{2}x=\frac{5}{2}$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$x=\frac{5}{2}\times \frac{2}{3}$$

Multiply \frac{5}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 2}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

$$x=\frac{5}{3}$$