Question

Solve the equation for the variable.20-%206" id="TexFormula1" title=" \frac{2}{5} x + 15 = x - 6" alt=" \frac{2}{5} x + 15 = x - 6" align="absmiddle" class="latex-formula">
x = [?]​

Answer 1

X= 35 hope this helpsss

Answer 2

Answer:

x = 35

Step-by-step explanation:

$\frac{2}{5} x + 15 = x - 6$

First multiply through by 5 to eliminate the fraction

That's

$5 \times \frac{2}{5} x + 15(5) = 5x - 30 \\ 2x + 75 = 5x - 30$

Next using the subtraction property subtract 5x from both sides

That's

$2x - 5x + 75 = 5x - 5x - 30 \\ - 3x + 75 = - 30$

Next subtract 75 from both sides

$- 3x + 75 - 75 = - 30 - 75 \\ - 3x = - 105$

Divide both sides by - 3

$\frac{ - 3x}{ - 3} = \frac{ - 105}{ - 3}$

We have the final answer as

x = 35

Hope this helps you