Question

What is the value of x?

8x−10−4x=−12(12x−20)

Enter your answer in the box.

X = ____

Answer 1

1⅔

Explanation:

8x−10−4x = −12(12x−20)

6x - 10 = -144x + 240

150x = 250

x = 5/3 or 1⅔ or 1.67

Answer 2

x = 125/74

x = 1.68918919.....

Explanation:

To solve for "x", simplify each side. Then, move "x" to the left, and move other numbers to the right. When moving something, do the reverse operation to both sides of the equation. Do reverse operations in reverse BEDMAS order.

8x − 10 − 4x = −12(12x − 20) Collect like terms on left side

4x − 10 = −12(12x − 20) Expand over brackets on right side

4x − 10 = −144x + 240

Start isolating "x" to the left side.

4x − 10 + 10 = −144x + 240 + 10 Add 10 to both sides

4x = −144x + 250

4x + 144x = −144x + 250 + 144x Add 144x to both sides

148x = 250

148x/148 = 250/148 Divide both sides by 148

x = 250/148 Reduce the fraction by a factor of 2

x = 125/74 Final answer as a fraction

x = 1.68918919..... Final answer as an unrounded decimal