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 .
3(2 − 5x) + 4(6x) = 12
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