Solving an Equation by Multiplication/ Division: One sided equations

Start by simplifying the left-hand side of the equation:

$3x - x = 2x$

So the equation becomes:

$2x = 8$

To find the value of $x$ , divide both sides by 2:

$x = \frac{8}{2}$

Then simplify the fraction:

$x = 4$

Thus, the solution to the equation is$x = 4$.

Combine like terms on the left-hand side:

$4x + 2x = 6x$

The equation becomes:

$6x = 18$

Divide both sides by 6 to solve for $x$ :

$x = \frac{18}{6}$

Simplify the division:

$x = 3$

Thus, $x = 3$ is the solution to the equation.

Let's arrange the equation so that on the left side we have the terms with coefficient b and on the right side the numbers without coefficient b

We'll remember that when we move terms across the equals sign, the plus and minus signs will change accordingly:

$2b-3b=5-4$

Let's solve the subtraction exercise on both sides:

$-1b=1$

Let's divide both sides by minus 1:

$b=-1$

To solve the equation $7x - 3 = 4x + 9$, follow these steps:

1. Subtract $4x$ from both sides to get:

$7x - 4x - 3 = 9$

2. Simplify the equation:

$3x - 3 = 9$

3. Add $3$ to both sides:

$3x = 12$

4. Divide both sides by $3$:

$x=4$

To solve the equation $3x + 5 = 20$, follow these steps:

1. Subtract 5 from both sides: $3x = 20 - 5$

2. Simplify the right side: $3x = 15$

3. Divide both sides by 3: $x = \frac{15}{3}$

4. Solve: $x = 5$

To solve the equation $4x - 7 = 13$, follow these steps:

1. Add 7 to both sides: $4x = 13 + 7$

2. Simplify the right side: $4x = 20$

3. Divide both sides by 4: $x = \frac{20}{4}$

4. Solve: $x = 5$