To solve the equation 2/5 * x + 4 + 2x = 0 for x, let’s follow a systematic approach:
- Combine like terms: First, rewrite the equation clearly. You want to consolidate all terms involving x:
(2/5)x + 2x + 4 = 0 - Convert 2x to a fraction: To combine coefficients easily, convert 2x into a fraction with the same denominator as (2/5)x:
2x = (10/5)x - Combine the fractions: Now add the coefficients:
(2/5)x + (10/5)x = (12/5)x - Rewrite the equation: Substitute back into the equation:
(12/5)x + 4 = 0 - Isolate x: Move the constant term to the other side:
(12/5)x = -4 - Clear the fraction: Multiply both sides by 5 to eliminate the fraction:
12x = -20 - Divide by 12: Finally, solve for x by dividing both sides by 12:
x = -20/12 = -5/3
So, the solution to the equation 2/5 * x + 4 + 2x = 0 is x = -5/3.