Solve 1/2(3-x)=5

$$\frac{ 1 }{ 2(3-x) } =5$$

Solve for x

$$x = \frac{29}{10} = 2\frac{9}{10} = 2.9$$

Steps for Solving Linear Equation

Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 2\left(-x+3\right).

$$1=10\left(-x+3\right)$$

Use the distributive property to multiply 10 by -x+3.

$$1=-10x+30$$

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

$$-10x+30=1$$

Subtract 30 from both sides.

$$-10x=1-30$$

Subtract 30 from 1 to get -29.

$$-10x=-29$$

Divide both sides by -10.

$$x=\frac{-29}{-10}$$

Fraction \frac{-29}{-10} can be simplified to \frac{29}{10} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{29}{10}$$