Solve 2/3*e+25=1/2*L-1

$$\frac { 2 } { 3 } \cdot e + 25 = \frac { 1 } { 2 } \cdot L - 1$$

Solve for L

$$L=\frac{4\left(e+39\right)}{3}\approx 55.624375771$$

Steps for Solving Linear Equation

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

$$\frac{1}{2}L-1=\frac{2}{3}e+25$$

Add 1 to both sides.

$$\frac{1}{2}L=\frac{2}{3}e+25+1$$

Add 25 and 1 to get 26.

$$\frac{1}{2}L=\frac{2}{3}e+26$$

The equation is in standard form.

$$\frac{1}{2}L=\frac{2e}{3}+26$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}L}{\frac{1}{2}}=\frac{\frac{2e}{3}+26}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$L=\frac{\frac{2e}{3}+26}{\frac{1}{2}}$$

Divide \frac{2e}{3}+26 by \frac{1}{2} by multiplying \frac{2e}{3}+26 by the reciprocal of \frac{1}{2}.

$$L=\frac{4e}{3}+52$$