Question

Find the value of x in this equation.
2
2/5 (4x – 3) – 2x = 4/5 - x

Answer 1

`\huge \blue{x = (10)/(3) } \\`

Explanation:

`(2)/(5) (4x - 3) - 2x = (4)/(5) - x \\`

Multiply through by 5 to eliminate the fractions

`5 * (2)/(5) (4x - 3) - 2x(5) = 5 * (4)/(5) - 5x \\ 2(4x - 3) - 10x = 4 - 5x \\ 8x - 6 - 10x = 4 - 5x`

Simplify the terms

`- 2x - 6 = 4 - 5x \\ - 2x + 5x = 6 + 4 \\ 3x = 10`

Divide both sides by 3

We have the final answer as

`x = (10)/(3) \\`

Hope this helps you