Solve 3t-2/4-2t+3/3=2-t/3 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$3t-2/4-2t+3/3=2-t/3$$

Solve for t

$t = \frac{9}{8} = 1\frac{1}{8} = 1.125$

Steps for Solving Linear Equation

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

$$36t-3\times 2-24t+4\times 3=24-4t$$

Multiply $-3$ and $2$ to get $-6$. Multiply $4$ and $3$ to get $12$.

$$36t-6-24t+12=24-4t$$

Combine $36t$ and $-24t$ to get $12t$.

$$12t-6+12=24-4t$$

Add $-6$ and $12$ to get $6$.

$$12t+6=24-4t$$

Add $4t$ to both sides.

$$12t+6+4t=24$$

Combine $12t$ and $4t$ to get $16t$.

$$16t+6=24$$

Subtract $6$ from both sides.

$$16t=24-6$$

Subtract $6$ from $24$ to get $18$.

$$16t=18$$

Divide both sides by $16$.

$$t=\frac{18}{16}$$

Reduce the fraction $\frac{18}{16}$ to lowest terms by extracting and canceling out $2$.

$$t=\frac{9}{8}$$