Solve 3t/4-4=8t-1/3+4

$$\frac { 3 t } { 4 } - 4 = \frac { 8 t - 1 } { 3 } + 4$$

Solve for t

$$t=-4$$

Steps for Solving Linear Equation

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

$$3\times 3t-48=4\left(8t-1\right)+48$$

Multiply 3 and 3 to get 9.

$$9t-48=4\left(8t-1\right)+48$$

Use the distributive property to multiply 4 by 8t-1.

$$9t-48=32t-4+48$$

Add -4 and 48 to get 44.

$$9t-48=32t+44$$

Subtract 32t from both sides.

$$9t-48-32t=44$$

Combine 9t and -32t to get -23t.

$$-23t-48=44$$

Add 48 to both sides.

$$-23t=44+48$$

Add 44 and 48 to get 92.

$$-23t=92$$

Divide both sides by -23.

$$t=\frac{92}{-23}$$

Divide 92 by -23 to get -4.

$$t=-4$$