Question

3.5 + x = -10.8
7x = -56
x ÷ -5
x = 7,3
2x = -10
-15 = -3x
x -
2x - 4 = 16
6x - 2 = 10
5x + 12 = 27
x ÷ 3 - 14 = 24

Explanation:

Step1: Solve \(3.5 + x = -10.8\)

Subtract \(3.5\) from both sides: \(x = -10.8 - 3.5\)
\(x = -14.3\) (the original handwritten answer \(x = 7.3\) is wrong)

Step2: Solve \(7x = -56\)

Divide both sides by \(7\): \(x = \frac{-56}{7}\)
\(x = -8\)

Step3: Solve \(2x = -10\)

Divide both sides by \(2\): \(x = \frac{-10}{2}\)
\(x = -5\)

Step4: Solve \(-15 = -3x\)

Divide both sides by \(-3\): \(x = \frac{-15}{-3}\)
\(x = 5\)

Step5: Solve \(2x - 4 = 16\)

Add \(4\) to both sides: \(2x = 16 + 4\)
\(2x = 20\), then divide by \(2\): \(x = \frac{20}{2}\)
\(x = 10\)

Step6: Solve \(6x - 2 = 10\)

Add \(2\) to both sides: \(6x = 10 + 2\)
\(6x = 12\), then divide by \(6\): \(x = \frac{12}{6}\)
\(x = 2\)

Step7: Solve \(5x + 12 = 27\)

Subtract \(12\) from both sides: \(5x = 27 - 12\)
\(5x = 15\), then divide by \(5\): \(x = \frac{15}{5}\)
\(x = 3\)

Step8: Solve \(x \div 3 - 14 = 24\)

Add \(14\) to both sides: \(x \div 3 = 24 + 14\)
\(x \div 3 = 38\), then multiply by \(3\): \(x = 38 \times 3\)
\(x = 114\)

Answer:

• \(3.5 + x = -10.8\): \(x = -14.3\)
• \(7x = -56\): \(x = -8\)
• \(2x = -10\): \(x = -5\)
• \(-15 = -3x\): \(x = 5\)
• \(2x - 4 = 16\): \(x = 10\)
• \(6x - 2 = 10\): \(x = 2\)
• \(5x + 12 = 27\): \(x = 3\)
• \(x \div 3 - 14 = 24\): \(x = 114\)