Question

Solve the equation. Check your solution. 20x-2=36x +10

Answer 1

Answer:

x = - $\frac{3}{4}$

Step-by-step explanation:

Given

20x - 2 = 36x + 10 ( subtract 36x from both sides )

- 16x - 2 = 10 ( add 2 to both sides )

- 16x = 12 ( divide both sides by - 16 )

x = $\frac{12}{-16}$ = - $\frac{3}{4}$

As a check

Substitute this value into the equation and if both sides are equal then it is the solution.

left side = 20 × - $\frac{3}{4}$ - 2 = - 15 - 2 = - 17

right side = 36 × - $\frac{3}{4}$ + 10 = - 27 + 10 = - x17

Since both sides are equal then x = - $\frac{3}{4}$ is the solution

Answer 2

Answer: $x=-3/4$

Subtract 36x from both sides

$20x-2-36x=36x+10-36x\\-16x-2=10$

Add 2 to both sides

$-16x-2+2=10+2\\-16x=12$

Divide both sides by -16

$\frac{-16x}{16} =\frac{12}{-16} \\x=\frac{-3}{4}$