Solve 7(2t - 3) + 2(3t + 2) = t + 5 | 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

$$7(2t-3)+2(3t+2)=t+5$$

Solve for t

$t = \frac{22}{19} = 1\frac{3}{19} \approx 1.157894737$

Steps for Solving Linear Equation

Use the distributive property to multiply $7$ by $2t-3$.

$$14t-21+2\left(3t+2\right)=t+5$$

Use the distributive property to multiply $2$ by $3t+2$.

$$14t-21+6t+4=t+5$$

Combine $14t$ and $6t$ to get $20t$.

$$20t-21+4=t+5$$

Add $-21$ and $4$ to get $-17$.

$$20t-17=t+5$$

Subtract $t$ from both sides.

$$20t-17-t=5$$

Combine $20t$ and $-t$ to get $19t$.

$$19t-17=5$$

Add $17$ to both sides.

$$19t=5+17$$

Add $5$ and $17$ to get $22$.

$$19t=22$$

Divide both sides by $19$.

$$t=\frac{22}{19}$$