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

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

Solve for t

$$t = -\frac{19}{3} = -6\frac{1}{3} \approx -6.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by t+5.

$$t-3=4t+20-4$$

Subtract 4 from 20 to get 16.

$$t-3=4t+16$$

Subtract 4t from both sides.

$$t-3-4t=16$$

Combine t and -4t to get -3t.

$$-3t-3=16$$

Add 3 to both sides.

$$-3t=16+3$$

Add 16 and 3 to get 19.

$$-3t=19$$

Divide both sides by -3.

$$t=\frac{19}{-3}$$

Fraction \frac{19}{-3} can be rewritten as -\frac{19}{3} by extracting the negative sign.

$$t=-\frac{19}{3}$$