Let’s create a demo for solving a linear equation, focusing on one of the most common forms of linear equations: *ax*+*b*=*c*, where *a*, *b*, and *c* are constants. Solving such an equation involves finding the value of *x* that makes the equation true.

**Example Problem:**

Solve the linear equation *3x+4=10*.

**Step 1:** Identify the Equation

Our equation is 3*x*+4=10, where *a*=3, *b*=4, and *c*=10.

**Step 2:** Isolate the Variable

To solve for *x*, we need to get *x* by itself on one side of the equation. We’ll do this by performing operations that will isolate *x*.

First, subtract 4 from both sides of the equation to get rid of the constant term on the side with *x*.

3*x*+4−4=10−4

**Step 3:** Simplify

After subtraction, the equation simplifies to:

3*x*=6

Next, to isolate *x*, divide both sides of the equation by 3, the coefficient of *x*.

3*x : 3 *=6 : 3

**Step 4:** Solve for *x*

Solving the equation gives us:

*x*=2

**Conclusion:**

The solution to the linear equation 3*x*+4=10 is *x*=2.