Solve -5(4t-3)+4t=7t-4

$$- 5 ( 4 t - 3 ) + 4 t = 7 t - 4$$

Solve for t

$$t=\frac{19}{23}\approx 0.826086957$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 4t-3.

$$-20t+15+4t=7t-4$$

Combine -20t and 4t to get -16t.

$$-16t+15=7t-4$$

Subtract 7t from both sides.

$$-16t+15-7t=-4$$

Combine -16t and -7t to get -23t.

$$-23t+15=-4$$

Subtract 15 from both sides.

$$-23t=-4-15$$

Subtract 15 from -4 to get -19.

$$-23t=-19$$

Divide both sides by -23.

$$t=\frac{-19}{-23}$$

Fraction \frac{-19}{-23} can be simplified to \frac{19}{23} by removing the negative sign from both the numerator and the denominator.

$$t=\frac{19}{23}$$