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Solve for x

x/4−2=−10
(1 point)

15 answers

To solve for \( x \) in the equation:

\[ \frac{x}{4} - 2 = -10 \]

First, add 2 to both sides of the equation:

\[ \frac{x}{4} = -10 + 2 \]

This simplifies to:

\[ \frac{x}{4} = -8 \]

Next, to isolate \( x \), multiply both sides by 4:

\[ x = -8 \times 4 \]

Calculating the right side:

\[ x = -32 \]

Thus, the solution is:

\[ \boxed{-32} \]

Solve for x
.
−4/3x+2=10
(1 point)

To solve the equation

\[ -\frac{4}{3}x + 2 = 10, \]

follow these steps:

  1. Subtract 2 from both sides:

\[ -\frac{4}{3}x = 10 - 2 \]

This simplifies to:

\[ -\frac{4}{3}x = 8. \]

  1. Multiply both sides by -1 to eliminate the negative sign:

\[ \frac{4}{3}x = -8. \]

  1. Multiply both sides by the reciprocal of \(\frac{4}{3}\), which is \(\frac{3}{4}\):

\[ x = -8 \times \frac{3}{4}. \]

Calculating the right side:

\[ x = -6. \]

Thus, the solution is

\[ \boxed{-6}. \]

Solve for x
.
3−5/3x=18
(1 point)

To solve the equation

\[ 3 - \frac{5}{3}x = 18, \]

follow these steps:

  1. Subtract 3 from both sides:

\[ -\frac{5}{3}x = 18 - 3 \]

This simplifies to:

\[ -\frac{5}{3}x = 15. \]

  1. Multiply both sides by -1 to eliminate the negative sign:

\[ \frac{5}{3}x = -15. \]

  1. Multiply both sides by the reciprocal of \(\frac{5}{3}\), which is \(\frac{3}{5}\):

\[ x = -15 \times \frac{3}{5}. \]

Calculating the right side:

\[ x = -9. \]

Thus, the solution is

\[ \boxed{-9}. \]

Solve for x .
−10−2x=−8
x=?

To solve the equation

\[ -10 - 2x = -8, \]

follow these steps:

  1. Add 10 to both sides:

\[ -2x = -8 + 10 \]

This simplifies to:

\[ -2x = 2. \]

  1. Divide both sides by -2 to isolate \( x \):

\[ x = \frac{2}{-2}. \]

This simplifies to:

\[ x = -1. \]

Thus, the solution is

\[ \boxed{-1}. \]

Solve for x .
5=2x−11 (1 point)

To solve the equation

\[ 5 = 2x - 11, \]

follow these steps:

  1. Add 11 to both sides:

\[ 5 + 11 = 2x \]

This simplifies to:

\[ 16 = 2x. \]

  1. Divide both sides by 2 to isolate \( x \):

\[ x = \frac{16}{2}. \]

This simplifies to:

\[ x = 8. \]

Thus, the solution is

\[ \boxed{8}. \]

Solve for x .
11/4x+9=31 (1 point)

To solve the equation

\[ \frac{11}{4}x + 9 = 31, \]

follow these steps:

  1. Subtract 9 from both sides:

\[ \frac{11}{4}x = 31 - 9 \]

This simplifies to:

\[ \frac{11}{4}x = 22. \]

  1. Multiply both sides by the reciprocal of \(\frac{11}{4}\), which is \(\frac{4}{11}\):

\[ x = 22 \times \frac{4}{11}. \]

Calculating the right side:

\[ x = 2 \times 4 = 8. \]

Thus, the solution is

\[ \boxed{8}. \]

Solve for x .
3/7x−4=−1 (1 point)

To solve the equation

\[ \frac{3}{7}x - 4 = -1, \]

follow these steps:

  1. Add 4 to both sides:

\[ \frac{3}{7}x = -1 + 4 \]

This simplifies to:

\[ \frac{3}{7}x = 3. \]

  1. Multiply both sides by the reciprocal of \(\frac{3}{7}\), which is \(\frac{7}{3}\):

\[ x = 3 \times \frac{7}{3}. \]

Calculating the right side:

\[ x = 7. \]

Thus, the solution is

\[ \boxed{7}. \]

Solve for x .
3−6/5x=−3 (1 point)

To solve the equation

\[ 3 - \frac{6}{5}x = -3, \]

follow these steps:

  1. Subtract 3 from both sides:

\[ -\frac{6}{5}x = -3 - 3 \]

This simplifies to:

\[ -\frac{6}{5}x = -6. \]

  1. Multiply both sides by -1 to eliminate the negative sign:

\[ \frac{6}{5}x = 6. \]

  1. Multiply both sides by the reciprocal of \(\frac{6}{5}\), which is \(\frac{5}{6}\):

\[ x = 6 \times \frac{5}{6}. \]

Calculating the right side:

\[ x = 5. \]

Thus, the solution is

\[ \boxed{5}. \]