Solve 5(z + 3) = 4(2z + 1) | 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

$$5 ( z + 3 ) = 4 ( 2 z + 1 )$$

Solve for z

$z = \frac{11}{3} = 3\frac{2}{3} \approx 3.666666667$

Steps for Solving Linear Equation

Use the distributive property to multiply $5$ by $z+3$.

$$5z+15=4\left(2z+1\right)$$

Use the distributive property to multiply $4$ by $2z+1$.

$$5z+15=8z+4$$

Subtract $8z$ from both sides.

$$5z+15-8z=4$$

Combine $5z$ and $-8z$ to get $-3z$.

$$-3z+15=4$$

Subtract $15$ from both sides.

$$-3z=4-15$$

Subtract $15$ from $4$ to get $-11$.

$$-3z=-11$$

Divide both sides by $-3$.

$$z=\frac{-11}{-3}$$

Fraction $\frac{-11}{-3}$ can be simplified to $\frac{11}{3}$ by removing the negative sign from both the numerator and the denominator.

$$z=\frac{11}{3}$$