Question

Type in your work to solve the following equation:
10 + 2x = 4x - 3(x + 2)

Answer 1

To solve the equation 10 + 2x = 4x - 3(x + 2), we'll start by distributing the -3 to the terms inside the parentheses:

10 + 2x = 4x - 3x - 6

Next, we'll combine like terms on the right side of the equation:

10 + 2x = x - 6

We'll now isolate the x term by subtracting x from both sides:

10 + 2x - x = -6

Simplifying the left side of the equation:

10 + x = -6

We'll now isolate the constant term by subtracting 10 from both sides:

10 + x - 10 = -6 - 10

Simplifying the left side of the equation:

x = -16

Therefore, the solution to the equation 10 + 2x = 4x - 3(x + 2) is x = -16.