Question

Solve.

−3x+4=6+5x

Answer 1

To solve the equation −3x + 4 = 6 + 5x, we need to isolate the variable x.

First, let's group like terms together by subtracting 6 and 5x from both sides:

−3x + 4 - 6 - 5x = 6 + 5x - 6 - 5x

This simplifies to:

−8x - 2 = 0

Next, let's isolate the x term by adding 2 to both sides:

−8x - 2 + 2 = 0 + 2

This simplifies to:

−8x = 2

Finally, divide both sides of the equation by -8 to solve for x:

(-8x)/-8 = 2/-8

This simplifies to:

x = -1/4

Therefore, the solution to the equation −3x + 4 = 6 + 5x is x = -1/4.