Solve 4-4t=4(-1/2)(10+x_{2})

$$4 - 4 t = 4 ( - \frac { 1 } { 2 } ) ( 10 + x _ { 2 } )$$

Solve for t

$$t=\frac{x_{2}+12}{2}$$

Steps for Solving Linear Equation

Multiply 4 and -\frac{1}{2} to get -2.

$$4-4t=-2\left(10+x_{2}\right)$$

Use the distributive property to multiply -2 by 10+x_{2}.

$$4-4t=-20-2x_{2}$$

Subtract 4 from both sides.

$$-4t=-20-2x_{2}-4$$

Subtract 4 from -20 to get -24.

$$-4t=-24-2x_{2}$$

The equation is in standard form.

$$-4t=-2x_{2}-24$$

Divide both sides by -4.

$$\frac{-4t}{-4}=\frac{-2x_{2}-24}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$t=\frac{-2x_{2}-24}{-4}$$

Divide -24-2x_{2} by -4.

$$t=\frac{x_{2}}{2}+6$$

Solve for x_2

$$x_{2}=2\left(t-6\right)$$

Steps for Solving Linear Equation

Multiply 4 and -\frac{1}{2} to get -2.

$$4-4t=-2\left(10+x_{2}\right)$$

Use the distributive property to multiply -2 by 10+x_{2}.

$$4-4t=-20-2x_{2}$$

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

$$-20-2x_{2}=4-4t$$

Add 20 to both sides.

$$-2x_{2}=4-4t+20$$

Add 4 and 20 to get 24.

$$-2x_{2}=24-4t$$

Divide both sides by -2.

$$\frac{-2x_{2}}{-2}=\frac{24-4t}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$x_{2}=\frac{24-4t}{-2}$$

Divide 24-4t by -2.

$$x_{2}=2t-12$$