Solve (5z - 7) + 2(9z - 11) = 4(8z - 7) - 111 | 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

$$(5z-7)+2(9z-11)=4(8z-7)-111$$

Solve for z

$z = \frac{110}{9} = 12\frac{2}{9} \approx 12.222222222$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $9z-11$.

$$5z-7+18z-22=4\left(8z-7\right)-111$$

Combine $5z$ and $18z$ to get $23z$.

$$23z-7-22=4\left(8z-7\right)-111$$

Subtract $22$ from $-7$ to get $-29$.

$$23z-29=4\left(8z-7\right)-111$$

Use the distributive property to multiply $4$ by $8z-7$.

$$23z-29=32z-28-111$$

Subtract $111$ from $-28$ to get $-139$.

$$23z-29=32z-139$$

Subtract $32z$ from both sides.

$$23z-29-32z=-139$$

Combine $23z$ and $-32z$ to get $-9z$.

$$-9z-29=-139$$

Add $29$ to both sides.

$$-9z=-139+29$$

Add $-139$ and $29$ to get $-110$.

$$-9z=-110$$

Divide both sides by $-9$.

$$z=\frac{-110}{-9}$$

Fraction $\frac{-110}{-9}$ can be simplified to $\frac{110}{9}$ by removing the negative sign from both the numerator and the denominator.

$$z=\frac{110}{9}$$