Question

(Multi-Step Linear Equations MC) Find the solution for −0.3x − 4.74 = x − 1.5 − 3.89. x = −2 x = −0.5 x = 0.5 x = 2

Answer 1

x = 0.5

Explanation:

Let's solve the equation step by step:

−0.3x − 4.74 = x − 1.5 − 3.89

First, we can simplify by adding 1.5 and 3.89 to both sides of the equation:

−0.3x − 4.74 + 1.5 + 3.89 = x − 1.5 − 3.89 + 1.5 + 3.89

−0.3x − 4.74 + 5.39 = x

Now, combine like terms on the left side:

−0.3x + 5.39 - 4.74 = x

−0.3x + 0.65 = x

Next, let's move the variable terms to one side of the equation and the constant terms to the other side. To do this, subtract x from both sides:

−0.3x - x + 0.65 = x - x

−1.3x + 0.65 = 0

Now, subtract 0.65 from both sides:

−1.3x + 0.65 - 0.65 = 0 - 0.65

−1.3x = -0.65

Finally, divide both sides by -1.3 to solve for x

x = 0.5

Answer 2

x = 0.5

Explanation:

−0.3x − 4.74 = x − 1.5 − 3.89

Solve for x

Combine like terms on the right

−0.3x − 4.74 = x − 5.39

Add .3x to each side

−0.3x+.3x − 4.74 = x+3.x − 5.39

-4.74 = 1.3x-5.39

Add 5.39 to each side.

-4.74+5.39 = 1.3x-5.39+5.39

.65 = 1.3x

Divide each side by 1.3

.65/1.3 = 1.3x /1.3

.5 = x