Chapter 0.5, Problem 18E

To determine

To solve the equation $2l+6=6l-10$

Answer to Problem 18E

  $l=4$

Explanation of Solution

Given Information: $2l+6=6l-10$

Formula Used : Linear equations with one variable

Calculation:

Given equation is

  $2l+6=6l-10$

To bring the variable l together, subtract 2l from both side-

  $2l-2l+6=6l-2l-10$

This gives

  $6=4l-10$

To simplify further, adding 10 both side-

  $6+10=4l-10+10$

This gives

  $16=4l$

To isolate the variable l, divide by 4 from both sides-

  $\frac{16}{4}=\frac{4}{4}l$

To simplify further, writing 16 as its factors-

  $\frac{4\times 4}{4}=l$

Hence the final answer is-

  $l=4$