Solve 2(t-5)=3-(4+t)

$$2 ( t - 5 ) = 3 - ( 4 + t )$$

Solve for t

$$t=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by t-5.

$$2t-10=3-\left(4+t\right)$$

To find the opposite of 4+t, find the opposite of each term.

$$2t-10=3-4-t$$

Subtract 4 from 3 to get -1.

$$2t-10=-1-t$$

Add t to both sides.

$$2t-10+t=-1$$

Combine 2t and t to get 3t.

$$3t-10=-1$$

Add 10 to both sides.

$$3t=-1+10$$

Add -1 and 10 to get 9.

$$3t=9$$

Divide both sides by 3.

$$t=\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$t=3$$