What is the value of x in the equation 0.2(x + 1) + 0.5x = -0.3(x - 4)?

Solution:

Given 0.2(x + 1) + 0.5x = -0.3(x - 4)

In order to solve for x, we need to isolate x and transpose all the other terms.

⇒ 0.2(x + 1) + 0.5x = -0.3(x - 4)

⇒ 0.2x + 0.2 + 0.5x = -0.3x + 1.2

⇒ 0.7x + 0.2 = -0.3x + 1.2

⇒ 0.7x + 0.3x = 1.2 - 0.2

⇒ 1.0x = 1.0

⇒ x = 1

The value of x is 1

What is the value of x in the equation 0.2(x + 1) + 0.5x = -0.3(x - 4)?

Summary:

The value of x in the equation 0.2(x + 1) + 0.5x = -0.3(x - 4) is 1.