Question

What is the solution of the equation  −8x+13=−19 ??

Answer 1

What is the solution of the equation  11−4x=−9  ?

Answer 2

What is the solution of the equation  2/5x+4=1/5 ?

Answer 3

What is the solution of the equation  5/3−2x=1/6 ?

Answer 4

What is the solution of the equation  0.2x−2.15=−8.27

Answer 5

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Answer 6

To solve the equation \(-8x + 13 = -19\), follow these steps:

1. Subtract 13 from both sides:
\[
-8x + 13 - 13 = -19 - 13
\]
This simplifies to:
\[
-8x = -32
\]

2. Divide both sides by -8:
\[
x = \frac{-32}{-8}
\]
This simplifies to:
\[
x = 4
\]

So, the solution to the equation \(-8x + 13 = -19\) is \(x = 4\).

Answer 7

To solve the equation \( 11 - 4x = -9 \), follow these steps:

1. Subtract 11 from both sides:
\[
11 - 4x - 11 = -9 - 11
\]
This simplifies to:
\[
-4x = -20
\]

2. Divide both sides by -4:
\[
x = \frac{-20}{-4}
\]
This simplifies to:
\[
x = 5
\]

So, the solution to the equation \( 11 - 4x = -9 \) is \( x = 5 \).

Answer 8

To solve the equation \(\frac{2}{5}x + 4 = \frac{1}{5}\), follow these steps:

1. Subtract \(4\) from both sides:
\[
\frac{2}{5}x + 4 - 4 = \frac{1}{5} - 4
\]
This simplifies to:
\[
\frac{2}{5}x = \frac{1}{5} - \frac{20}{5}
\]
\[
\frac{2}{5}x = \frac{1 - 20}{5}
\]
\[
\frac{2}{5}x = \frac{-19}{5}
\]

2. Multiply both sides by the reciprocal of \(\frac{2}{5}\) (which is \(\frac{5}{2}\)):
\[
x = \frac{-19}{5} \times \frac{5}{2}
\]
\[
x = \frac{-19 \times 5}{5 \times 2}
\]
\[
x = \frac{-19}{2}
\]

Thus, the solution to the equation \(\frac{2}{5}x + 4 = \frac{1}{5}\) is:
\[
x = -\frac{19}{2}
\] or \(x = -9.5\).

Answer 9

To solve the equation \(\frac{5}{3} - 2x = \frac{1}{6}\), follow these steps:

1. First, isolate the term with \(x\) by subtracting \(\frac{5}{3}\) from both sides:
\[
-2x = \frac{1}{6} - \frac{5}{3}
\]

2. To subtract the fractions \(\frac{1}{6}\) and \(\frac{5}{3}\), we need a common denominator. The least common denominator (LCD) of 6 and 3 is 6. Rewrite \(\frac{5}{3}\) with a denominator of 6:
\[
\frac{5}{3} = \frac{5 \times 2}{3 \times 2} = \frac{10}{6}
\]

3. Now, substitute back into the equation:
\[
-2x = \frac{1}{6} - \frac{10}{6}
\]
\[
-2x = \frac{1 - 10}{6}
\]
\[
-2x = \frac{-9}{6}
\]

4. Simplify \(\frac{-9}{6}\):
\[
-2x = -\frac{3}{2}
\]

5. Now, divide both sides by \(-2\) (which is the same as multiplying by \(-\frac{1}{2}\)):
\[
x = \frac{-\frac{3}{2}}{-2}
\]
\[
x = \frac{3}{2} \times \frac{1}{2} = \frac{3}{4}
\]

Thus, the solution to the equation \(\frac{5}{3} - 2x = \frac{1}{6}\) is:
\[
x = \frac{3}{4}
\]

Answer 10

To solve the equation \(0.2x - 2.15 = -8.27\), follow these steps:

1. Add \(2.15\) to both sides:
\[
0.2x - 2.15 + 2.15 = -8.27 + 2.15
\]
This simplifies to:
\[
0.2x = -6.12
\]

2. Divide both sides by \(0.2\):
\[
x = \frac{-6.12}{0.2}
\]
\[
x = -30.6
\]

Thus, the solution to the equation \(0.2x - 2.15 = -8.27\) is:
\[
x = -30.6
\]

Answer 11

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