Question

Use the following step as a guide to solve the following equation. Write out your work for all steps to solve the equation.

2x - 5 = 3(4x + 5)



(8 points)
0 / 10000 Word Limit
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Answer 1

Solve: 2x − 5 = 3(4x + 5)

1. Distribute the 3 on the right-hand side:
2x − 5 = 12x + 15

2. Get all x-terms on one side by subtracting 12x from both sides:
2x − 12x − 5 = 15
−10x − 5 = 15

3. Isolate the x-term by adding 5 to both sides:
−10x = 20

4. Solve for x by dividing both sides by −10:
x = 20 ÷ (−10) = −2

5. Check the solution by substituting x = −2 into the original equation:
Left: 2(−2) − 5 = −4 − 5 = −9
Right: 3(4(−2) + 5) = 3(−8 + 5) = 3(−3) = −9
Left = Right, so x = −2 is correct.

Answer: x = −2