Solve 3(t + 4) = 5(4t - 8) | 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

$$3(t+4)=5(4t-8)$$

Solve for t

$t = \frac{52}{17} = 3\frac{1}{17} \approx 3.058823529$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $t+4$.

$$3t+12=5\left(4t-8\right)$$

Use the distributive property to multiply $5$ by $4t-8$.

$$3t+12=20t-40$$

Subtract $20t$ from both sides.

$$3t+12-20t=-40$$

Combine $3t$ and $-20t$ to get $-17t$.

$$-17t+12=-40$$

Subtract $12$ from both sides.

$$-17t=-40-12$$

Subtract $12$ from $-40$ to get $-52$.

$$-17t=-52$$

Divide both sides by $-17$.

$$t=\frac{-52}{-17}$$

Fraction $\frac{-52}{-17}$ can be simplified to $\frac{52}{17}$ by removing the negative sign from both the numerator and the denominator.

$$t=\frac{52}{17}$$