Solve 6(4-7)-55=-5(2T+3)

$$6 ( 4 - 7 ) - 55 = - 5 ( 2 T + 3 )$$

Solve for T

$$T = \frac{29}{5} = 5\frac{4}{5} = 5.8$$

Steps for Solving Linear Equation

Subtract 7 from 4 to get -3.

$$6\left(-3\right)-55=-5\left(2T+3\right)$$

Multiply 6 and -3 to get -18.

$$-18-55=-5\left(2T+3\right)$$

Subtract 55 from -18 to get -73.

$$-73=-5\left(2T+3\right)$$

Use the distributive property to multiply -5 by 2T+3.

$$-73=-10T-15$$

Swap sides so that all variable terms are on the left hand side.

$$-10T-15=-73$$

Add 15 to both sides.

$$-10T=-73+15$$

Add -73 and 15 to get -58.

$$-10T=-58$$

Divide both sides by -10.

$$T=\frac{-58}{-10}$$

Reduce the fraction \frac{-58}{-10} to lowest terms by extracting and canceling out -2.

$$T=\frac{29}{5}$$