Question

Solve for X.
20 = 5 - 3/8x

Answer 1

What is x?
20 = 5 - ⅜x

Answer 2

Solve for X
7(4x - 15) = 63

Answer 3

Solve for X
-2(3x - 15) - 25 = 35

Answer 4

Solve for X
12x + 5 = 10x - 11

Answer 5

To solve the equation \( 20 = 5 - \frac{3}{8}x \), we will first isolate the term containing \( x \).

1. Start by subtracting 5 from both sides:

\[
20 - 5 = -\frac{3}{8}x
\]

\[
15 = -\frac{3}{8}x
\]

2. Next, multiply both sides by \(-1\) to simplify the equation:

\[
-15 = \frac{3}{8}x
\]

3. Now, to solve for \( x \), multiply both sides by the reciprocal of \(\frac{3}{8}\), which is \(\frac{8}{3}\):

\[
x = -15 \times \frac{8}{3}
\]

4. Calculate the product:

\[
x = \frac{-120}{3} = -40
\]

Thus, the solution is:

\[
\boxed{-40}
\]

Answer 6

To solve the equation \( 20 = 5 - \frac{3}{8}x \), we'll isolate \( x \).

1. Start by subtracting 5 from both sides:

\[
20 - 5 = -\frac{3}{8}x
\]

\[
15 = -\frac{3}{8}x
\]

2. Next, to eliminate the negative sign, multiply both sides by -1:

\[
-15 = \frac{3}{8}x
\]

3. Now, to solve for \( x \), multiply both sides by the reciprocal of \(\frac{3}{8}\), which is \(\frac{8}{3}\):

\[
x = -15 \times \frac{8}{3}
\]

4. Calculate the right-hand side:

\[
x = \frac{-120}{3} = -40
\]

Therefore, the solution is:

\[
\boxed{-40}
\]

Answer 7

To solve the equation \( 7(4x - 15) = 63 \), follow these steps:

1. **Distribute the 7 on the left side**:
\[
28x - 105 = 63
\]

2. **Add 105 to both sides to isolate the term with \( x \)**:
\[
28x - 105 + 105 = 63 + 105
\]
\[
28x = 168
\]

3. **Divide both sides by 28 to solve for \( x \)**:
\[
x = \frac{168}{28}
\]
\[
x = 6
\]

Thus, the solution is:
\[
\boxed{6}
\]

Answer 8

To solve the equation \(-2(3x - 15) - 25 = 35\), follow these steps:

1. **Distribute \(-2\) on the left side**:
\[
-6x + 30 - 25 = 35
\]

This simplifies to:
\[
-6x + 5 = 35
\]

2. **Subtract 5 from both sides**:
\[
-6x + 5 - 5 = 35 - 5
\]
\[
-6x = 30
\]

3. **Divide both sides by \(-6\)** to solve for \( x \):
\[
x = \frac{30}{-6}
\]
\[
x = -5
\]

Thus, the solution is:
\[
\boxed{-5}
\]

Answer 9

To solve the equation \( 12x + 5 = 10x - 11 \), follow these steps:

1. **Subtract \( 10x \) from both sides** to get all the \( x \) terms on one side:
\[
12x - 10x + 5 = 10x - 10x - 11
\]
This simplifies to:
\[
2x + 5 = -11
\]

2. **Subtract 5 from both sides** to isolate the \( x \) term:
\[
2x + 5 - 5 = -11 - 5
\]
This simplifies to:
\[
2x = -16
\]

3. **Divide both sides by 2** to solve for \( x \):
\[
x = \frac{-16}{2}
\]
This simplifies to:
\[
x = -8
\]

Thus, the solution is:
\[
\boxed{-8}
\]