Solve 4(t-4)+8=4(2t-7)

$$4 ( t - 4 ) + 8 = 4 ( 2 t - 7 )$$

Solve for t

$$t=5$$

Steps for Solving Linear Equation

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

$$4t-16+8=4\left(2t-7\right)$$

Add -16 and 8 to get -8.

$$4t-8=4\left(2t-7\right)$$

Use the distributive property to multiply 4 by 2t-7.

$$4t-8=8t-28$$

Subtract 8t from both sides.

$$4t-8-8t=-28$$

Combine 4t and -8t to get -4t.

$$-4t-8=-28$$

Add 8 to both sides.

$$-4t=-28+8$$

Add -28 and 8 to get -20.

$$-4t=-20$$

Divide both sides by -4.

$$t=\frac{-20}{-4}$$

Divide -20 by -4 to get 5.

$$t=5$$