<u>Answer:</u>
There are two approaches to solving the equation -3x + 10 = 4x - 20. The value of x after solving in both methods is 4.2857.
<u>Solution:</u>
Given, equation is -3x + 10 = 4x – 20.
We have to solve the given equation in two methods, now let us see the first method.
<u><em>1st method ⇒ by subtracting 4x from both sides.</em></u>
Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 – 4x = 4x – 20 – 4x ⇒ -3x – 4x = -20 – 10 ⇒ -7x = -30 ⇒ 7x = 30
Then, x =
Now, let us use the 2nd method.
<em><u>2nd method ⇒ by adding 3x on both sides.</u></em>
Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 + 3x = 4x – 20 + 3x
⇒ 10 + 20 = 4x + 3x
⇒ 7x = 30
⇒ x =
Hence, the value of x after solving in both methods is = 4.2857.