Solve t-(2t+5)-(1-2t)=(3+4t)-2(t-4)

$$t - ( 2 t + 5 ) - ( 1 - 2 t ) = ( 3 + 4 t ) - 2 ( t - 4 )$$

Solve for t

$$t=-17$$

Steps for Solving Linear Equation

To find the opposite of 2t+5, find the opposite of each term.

$$t-2t-5-\left(1-2t\right)=3+4t-2\left(t-4\right)$$

Combine t and -2t to get -t.

$$-t-5-\left(1-2t\right)=3+4t-2\left(t-4\right)$$

To find the opposite of 1-2t, find the opposite of each term.

$$-t-5-1-\left(-2t\right)=3+4t-2\left(t-4\right)$$

The opposite of -2t is 2t.

$$-t-5-1+2t=3+4t-2\left(t-4\right)$$

Subtract 1 from -5 to get -6.

$$-t-6+2t=3+4t-2\left(t-4\right)$$

Combine -t and 2t to get t.

$$t-6=3+4t-2\left(t-4\right)$$

Use the distributive property to multiply -2 by t-4.

$$t-6=3+4t-2t+8$$

Combine 4t and -2t to get 2t.

$$t-6=3+2t+8$$

Add 3 and 8 to get 11.

$$t-6=11+2t$$

Subtract 2t from both sides.

$$t-6-2t=11$$

Combine t and -2t to get -t.

$$-t-6=11$$

Add 6 to both sides.

$$-t=11+6$$

Add 11 and 6 to get 17.

$$-t=17$$

Multiply both sides by -1.

$$t=-17$$