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Solve for X.

20 = 5 - 3/8x

9 answers

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:

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

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

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

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

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

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

  1. Calculate the product:

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

Thus, the solution is:

\[ \boxed{-40} \]

What is x?
20 = 5 - ⅜x

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

  1. Start by subtracting 5 from both sides:

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

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

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

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

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

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

  1. Calculate the right-hand side:

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

Therefore, the solution is:

\[ \boxed{-40} \]

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

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: \[ \boxed{6} \]

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

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: \[ \boxed{-5} \]

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

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: \[ \boxed{-8} \]