Solve for x.

-10 - 2x = -8 (1 point)
x = 4
x = -1
x = 9
x = 1

9 answers

To solve the equation \(-10 - 2x = -8\), follow these steps:

  1. Add 10 to both sides of the equation: \[ -10 - 2x + 10 = -8 + 10 \] This simplifies to: \[ -2x = 2 \]

  2. Divide both sides by -2: \[ x = \frac{2}{-2} = -1 \]

Therefore, the solution is \(x = -1\).

Solve for x.
5 = 2x - 11 (1 point)
x = -8
x = 8
x = -3
x = 3

To solve the equation \(5 = 2x - 11\), follow these steps:

  1. Add \(11\) to both sides of the equation: \[ 5 + 11 = 2x - 11 + 11 \] This simplifies to: \[ 16 = 2x \]

  2. Divide both sides by \(2\): \[ x = \frac{16}{2} = 8 \]

Therefore, the solution is \(x = 8\).

Solve for x.
11/4x + 9 = 31 (1 point)
x = 22
x = 8
x = -8
x = 110

To solve the equation \(\frac{11}{4}x + 9 = 31\), follow these steps:

  1. Subtract \(9\) from both sides: \[ \frac{11}{4}x + 9 - 9 = 31 - 9 \] This simplifies to: \[ \frac{11}{4}x = 22 \]

  2. Multiply both sides by \(\frac{4}{11}\) to solve for \(x\): \[ x = 22 \cdot \frac{4}{11} \]

    Now, simplify \(22 \cdot \frac{4}{11}\): \[ x = 2 \cdot 4 = 8 \]

Therefore, the solution is \(x = 8\).

Solve for x.
3/7x -4 = -1 (1 point)
x = 7
x = -7
x = 3
x = -3

To solve the equation \(\frac{3}{7}x - 4 = -1\), follow these steps:

  1. Add \(4\) to both sides of the equation: \[ \frac{3}{7}x - 4 + 4 = -1 + 4 \] This simplifies to: \[ \frac{3}{7}x = 3 \]

  2. Multiply both sides by \(\frac{7}{3}\) to solve for \(x\): \[ x = 3 \cdot \frac{7}{3} \]

    The \(3\) cancels out, so: \[ x = 7 \]

Therefore, the solution is \(x = 7\).

Solve for x.
3- 6/5x = -3
x = -5
x = 5
x = 6
x = 0

To solve the equation \(3 - \frac{6}{5}x = -3\), follow these steps:

  1. Subtract \(3\) from both sides: \[ 3 - 3 - \frac{6}{5}x = -3 - 3 \] This simplifies to: \[ -\frac{6}{5}x = -6 \]

  2. Multiply both sides by \(-1\) to eliminate the negative sign: \[ \frac{6}{5}x = 6 \]

  3. Next, multiply both sides by \(\frac{5}{6}\) to solve for \(x\): \[ x = 6 \cdot \frac{5}{6} \]

    The \(6\) cancels out: \[ x = 5 \]

Therefore, the solution is \(x = 5\).