Solve the equation.EXAMPLE 1Solve: 4(2x − 3) + 7 = 3x + 5SolutionThere are no fractions, s...

Solve the equation.

EXAMPLE 1

Solve: 4(2x − 3) + 7 = 3x + 5

Solution

There are no fractions, so we begin with Step 2.

Step 2.

Step 3.

Step 4. Get all variable terms on the same side of the equation by subtracting 3x from both sides, then adding 5 to both sides.

Step 5. Use the multiplication property of equality to get x alone.

Step 6. Check.

The solution is 2 or the solution set is {2}.

EXAMPLE 2

Solve: 8(2 − t) = −5t

Solution

Step 2.

Step 4.

Step 5.

Step 6. Check.

The solution is .

−(5x − 10) = 5x