Solving the equation (x - 3) = 5(2x + 1)

To solve the given equation (x - 3) = 5(2x + 1), we need to find the value of x that satisfies the equation. We will follow a step-by-step approach to solve the equation.

Step 1: Distribute the 5 on the right side of the equation

To remove the parentheses on the right side, we need to distribute the 5 to both terms inside the parentheses.

5(2x + 1) = 10x + 5

So, the equation becomes: (x - 3) = 10x + 5

Step 2: Simplify the equation by combining like terms

Next, we simplify the equation by combining like terms. On the right side, we have 10x and 5 as the like terms.

(x - 3) = 10x + 5

To combine the terms, we move the 10x to the left side by subtracting it from both sides of the equation.

(x - 10x) - 3 = 10x - 10x + 5

Simplifying further, we get:

-9x - 3 = 5

Step 3: Isolate the variable term

In this step, we isolate the variable term by moving the constant term to the other side of the equation. We do this by adding 3 to both sides of the equation.

-9x - 3 + 3 = 5 + 3

Simplifying, we get:

-9x = 8

Step 4: Solve for x

Finally, we solve for x by dividing both sides of the equation by -9.

(-9x)/-9 = 8/-9

Simplifying, we get:

x = -8/9

So, the solution to the equation (x - 3) = 5(2x + 1) is x = -8/9.