5 = 2x − 11
9 answers
To solve the equation \(5 = 2x - 11\), follow these steps:
Add 11 to both sides of the equation: \[ 5 + 11 = 2x - 11 + 11 \] This simplifies to: \[ 16 = 2x \]
Divide both sides by 2 to isolate \(x\): \[ \frac{16}{2} = \frac{2x}{2} \] This simplifies to: \[ 8 = x \]
So, the solution is: \[ x = 8 \]
To solve the equation \(-10 - 2x = -8\), follow these steps:
Add 10 to both sides of the equation: \[ -10 + 10 - 2x = -8 + 10 \] This simplifies to: \[ -2x = 2 \]
Divide both sides by -2 to isolate \(x\): \[ \frac{-2x}{-2} = \frac{2}{-2} \] This simplifies to: \[ x = -1 \]
So, the solution is: \[ x = -1 \]
To solve the equation
\[ \frac{11}{4}x + 9 = 31, \]
follow these steps:
Subtract 9 from both sides to isolate the term with \(x\): \[ \frac{11}{4}x = 31 - 9. \] This simplifies to: \[ \frac{11}{4}x = 22. \]
Multiply both sides by the reciprocal of \(\frac{11}{4}\) (which is \(\frac{4}{11}\)) to solve for \(x\): \[ x = 22 \times \frac{4}{11}. \]
Simplify the right-hand side: \[ x = 2 \times 4 = 8. \]
Therefore, the solution is: \[ x = 8. \]
To solve the equation
\[ \frac{3}{7}x - 4 = -1, \]
follow these steps:
Add 4 to both sides to isolate the term with \(x\): \[ \frac{3}{7}x = -1 + 4. \] This simplifies to: \[ \frac{3}{7}x = 3. \]
Multiply both sides by the reciprocal of \(\frac{3}{7}\) (which is \(\frac{7}{3}\)) to solve for \(x\): \[ x = 3 \times \frac{7}{3}. \]
Simplify the right-hand side: \[ x = 7. \]
Therefore, the solution is: \[ x = 7. \]
To solve the equation
\[ 3 - \frac{6}{5}x = -3, \]
follow these steps:
Subtract 3 from both sides to isolate the term with \(x\): \[ -\frac{6}{5}x = -3 - 3. \] This simplifies to: \[ -\frac{6}{5}x = -6. \]
Multiply both sides by \(-1\) (to eliminate the negative sign): \[ \frac{6}{5}x = 6. \]
Multiply both sides by the reciprocal of \(\frac{6}{5}\) (which is \(\frac{5}{6}\)) to solve for \(x\): \[ x = 6 \times \frac{5}{6}. \]
Simplify the right-hand side: \[ x = 5. \]
Therefore, the solution is: \[ x = 5. \]
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