Solve for x: 10⋅x - 8 = 6⋅x + 4

Solve for x: 10⋅x - 8 = 6⋅x + 4

• A. 3.0
• B. 2.5
• C. 3.5
• D. 4.0

Answer: (A)

To solve the equation \(10 \cdot x - 8 = 6 \cdot x + 4\), you'll want to isolate the variable \(x\). First, you can start by moving all terms involving \(x\) to one side of the equation and the constant terms to the other side. Begin by subtracting \(6 \cdot x\) from both sides: \[ 10 \cdot x - 6 \cdot x - 8 = 4 \] This simplifies to: \[ 4 \cdot x - 8 = 4 \] Next, add \(8\) to both sides to isolate the term with \(x\): \[ 4 \cdot x = 4 + 8 \] This simplifies to: \[ 4 \cdot x = 12 \] Now, divide both sides by \(4\) to solve for \(x\): \[ x = \frac{12}{4} = 3 \] Thus, the value of \(x\) is \(3\). This means the answer is indeed \(3.0\). Finding a solution involves manipulating the equation step-by-step while maintaining balance

To solve the equation (10 \cdot x - 8 = 6 \cdot x + 4), you'll want to isolate the variable (x). First, you can start by moving all terms involving (x) to one side of the equation and the constant terms to the other side.

Begin by subtracting (6 \cdot x) from both sides:

[

10 \cdot x - 6 \cdot x - 8 = 4

]

This simplifies to:

[

4 \cdot x - 8 = 4

]

Next, add (8) to both sides to isolate the term with (x):

[

4 \cdot x = 4 + 8

]

This simplifies to:

[

4 \cdot x = 12

]

Now, divide both sides by (4) to solve for (x):

[

x = \frac{12}{4} = 3

]

Thus, the value of (x) is (3). This means the answer is indeed (3.0).

Finding a solution involves manipulating the equation step-by-step while maintaining balance