1 Answer

Euraad · Answer 1 · 2024-12-21T19:07:49+0000

Hello!

Answer:

$\Large \boxed{\sf x=-37.5}$

Explanation:

→ We want to solve this equation:

$\sf 0.5x - 0.3(0.2x + 5) = 0.4x - 3$

◼ Simplify both sides:

$\sf 0.5x - 0.06x - 1.5 = 0.4x - 3$

$\sf 0.44x- 1.5 = 0.4x - 3$

◼ Subtract 0.4x from both sides:

$\sf 0.44x- 1.5 - 0.4x= 0.4x - 3 - 0.4x$

◼ Simplify both sides:

$\sf 0.04x- 1.5 = - 3$

◼ Add 1.5 to both sides:

$\sf 0.04x- 1.5 +1.5= - 3+1.5$

◼ Simplify both sides:

$\sf 0.04x= -1.5$

◼ Divide both sides by 0.04:

$\sf (0.04x)/(0.04) =-(1.5)/(0.04)$

◼ Simplify both sides:

$\boxed{\sf x=-37.5}$

Conclusion:

The solution of the equation 0.5x - 0.3(0.2x + 5) = 0.4x - 3 is -37.5.

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