-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:
Add 10 to both sides of the equation: \[ -10 - 2x + 10 = -8 + 10 \] This simplifies to: \[ -2x = 2 \]
Divide both sides by -2: \[ x = \frac{2}{-2} = -1 \]
Therefore, the solution is \(x = -1\).
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 \(2\): \[ x = \frac{16}{2} = 8 \]
Therefore, the solution is \(x = 8\).
To solve the equation \(\frac{11}{4}x + 9 = 31\), follow these steps:
Subtract \(9\) from both sides: \[ \frac{11}{4}x + 9 - 9 = 31 - 9 \] This simplifies to: \[ \frac{11}{4}x = 22 \]
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 \(x = 8\).
To solve the equation \(\frac{3}{7}x - 4 = -1\), follow these steps:
Add \(4\) to both sides of the equation: \[ \frac{3}{7}x - 4 + 4 = -1 + 4 \] This simplifies to: \[ \frac{3}{7}x = 3 \]
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 \(x = 7\).
To solve the equation \(3 - \frac{6}{5}x = -3\), follow these steps:
Subtract \(3\) from both sides: \[ 3 - 3 - \frac{6}{5}x = -3 - 3 \] This simplifies to: \[ -\frac{6}{5}x = -6 \]
Multiply both sides by \(-1\) to eliminate the negative sign: \[ \frac{6}{5}x = 6 \]
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 \(x = 5\).
