Solve for x: 3⋅x + 4 = x -- 4

Solve for x: 3⋅x + 4 = x -- 4

• A. --5.2
• B. --2.84
• C. --4.0
• D. --1.36

Answer: (C)

To solve the equation \(3 \cdot x + 4 = x - 4\), the first step involves isolating the variable \(x\). Start by moving all terms involving \(x\) to one side and constant terms to the other. Begin by subtracting \(x\) from both sides: \[ 3x - x + 4 = -4 \] This simplifies to: \[ 2x + 4 = -4 \] Next, isolate \(2x\) by subtracting 4 from both sides: \[ 2x = -4 - 4 \] This results in: \[ 2x = -8 \] Now, divide both sides by 2 to solve for \(x\): \[ x = \frac{-8}{2} \] Thus, we find that: \[ x = -4 \] This corresponds to the choice of \(-4.0\). It's the correct answer because it satisfies the original equation when substituted back in. By checking, if we replace \(x\) with \(-4\) in the left-hand side of the equation: \[ 3 \cdot (-4) + 4 =

To solve the equation (3 \cdot x + 4 = x - 4), the first step involves isolating the variable (x). Start by moving all terms involving (x) to one side and constant terms to the other.

Begin by subtracting (x) from both sides:

[

3x - x + 4 = -4

]

This simplifies to:

[

2x + 4 = -4

]

Next, isolate (2x) by subtracting 4 from both sides:

[

2x = -4 - 4

]

This results in:

[

2x = -8

]

Now, divide both sides by 2 to solve for (x):

[

x = \frac{-8}{2}

]

Thus, we find that:

[

x = -4

]

This corresponds to the choice of (-4.0). It's the correct answer because it satisfies the original equation when substituted back in. By checking, if we replace (x) with (-4) in the left-hand side of the equation:

[

3 \cdot (-4) + 4 =