Question

question
solve for x and simplify the answer fully.
\frac{4x + 2}{8} = \frac{2x - 7}{7}
answer attempt 1 out of 2
x =
submit answer

Explanation:

Step1: Cross-multiply to eliminate fractions

$$(4x+2) \times 7 = (2x-7) \times 8$$

Step2: Expand both sides of the equation

$$28x + 14 = 16x - 56$$

Step3: Isolate x terms on one side

$$28x - 16x = -56 - 14$$

Step4: Simplify and solve for x

$$12x = -70$$
$$x = \frac{-70}{12} = -\frac{35}{6}$$

Answer:

$x = -\frac{35}{6}$