Solve T-1/3+T+5/4=1/2

$$\frac { T - 1 } { 3 } + \frac { T + 5 } { 4 } = \frac { 1 } { 2 }$$

Solve for T

$$T=-\frac{5}{7}\approx -0.714285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4,2.

$$4\left(T-1\right)+3\left(T+5\right)=6$$

Use the distributive property to multiply 4 by T-1.

$$4T-4+3\left(T+5\right)=6$$

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

$$4T-4+3T+15=6$$

Combine 4T and 3T to get 7T.

$$7T-4+15=6$$

Add -4 and 15 to get 11.

$$7T+11=6$$

Subtract 11 from both sides.

$$7T=6-11$$

Subtract 11 from 6 to get -5.

$$7T=-5$$

Divide both sides by 7.

$$T=\frac{-5}{7}$$

Fraction \frac{-5}{7} can be rewritten as -\frac{5}{7} by extracting the negative sign.

$$T=-\frac{5}{7}$$