Solve {l}{3t+6=8t-(3-2t)}{2-{2m+[2m-(2-2m)]}

$$\left. \begin{array} { l } { 3 t + 6 = 8 t - ( 3 - 2 t ) } \\ { 2 - \{ 2 m + [ 2 m - ( 2 - 2 m ) ] } \end{array} \right.$$

Solve for t

$$t = \frac{9}{7} = 1\frac{2}{7} \approx 1.285714286$$

Steps for Solving Linear Equation

To find the opposite of 3-2t, find the opposite of each term.

$$3t+6=8t-3-\left(-2t\right)$$

The opposite of -2t is 2t.

$$3t+6=8t-3+2t$$

Combine 8t and 2t to get 10t.

$$3t+6=10t-3$$

Subtract 10t from both sides.

$$3t+6-10t=-3$$

Combine 3t and -10t to get -7t.

$$-7t+6=-3$$

Subtract 6 from both sides.

$$-7t=-3-6$$

Subtract 6 from -3 to get -9.

$$-7t=-9$$

Divide both sides by -7.

$$t=\frac{-9}{-7}$$

Fraction \frac{-9}{-7} can be simplified to \frac{9}{7} by removing the negative sign from both the numerator and the denominator.

$$t=\frac{9}{7}$$