Solve (4z - 3)/5 - (2z - 1)/2 = 1/5 - z | 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

$$\frac{4z-3}{5}-\frac{2z-1}{2}=\frac{1}{5}-z$$

Solve for z

$z=\frac{3}{8}=0.375$

Steps for Solving Linear Equation

Multiply both sides of the equation by $10$, the least common multiple of $5,2$.

$$2\left(4z-3\right)-5\left(2z-1\right)=2-10z$$

Use the distributive property to multiply $2$ by $4z-3$.

$$8z-6-5\left(2z-1\right)=2-10z$$

Use the distributive property to multiply $-5$ by $2z-1$.

$$8z-6-10z+5=2-10z$$

Combine $8z$ and $-10z$ to get $-2z$.

$$-2z-6+5=2-10z$$

Add $-6$ and $5$ to get $-1$.

$$-2z-1=2-10z$$

Add $10z$ to both sides.

$$-2z-1+10z=2$$

Combine $-2z$ and $10z$ to get $8z$.

$$8z-1=2$$

Add $1$ to both sides.

$$8z=2+1$$

Add $2$ and $1$ to get $3$.

$$8z=3$$

Divide both sides by $8$.

$$z=\frac{3}{8}$$