Solve 6*4/2=1+frac{(1.5z_{2}+z_{2})}{2}

$$\frac { 6 \cdot 4 } { 2 } = 1 + \frac { ( 1.5 z _ { 2 } + z _ { 2 } ) } { 2 }$$

Solve for z_2

$$z_{2}=8.8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$6\times 4=2+1.5z_{2}+z_{2}$$

Multiply 6 and 4 to get 24.

$$24=2+1.5z_{2}+z_{2}$$

Combine 1.5z_{2} and z_{2} to get 2.5z_{2}.

$$24=2+2.5z_{2}$$

Swap sides so that all variable terms are on the left hand side.

$$2+2.5z_{2}=24$$

Subtract 2 from both sides.

$$2.5z_{2}=24-2$$

Subtract 2 from 24 to get 22.

$$2.5z_{2}=22$$

Divide both sides by 2.5.

$$z_{2}=\frac{22}{2.5}$$

Expand \frac{22}{2.5} by multiplying both numerator and the denominator by 10.

$$z_{2}=\frac{220}{25}$$

Reduce the fraction \frac{220}{25} to lowest terms by extracting and canceling out 5.

$$z_{2}=\frac{44}{5}$$