7x-12=x+2+2x-3x

Solve for x

Combine the terms on the right hand side first. Then add 12 to both sides and solve for x.

To solve for x, we need to simplify the equation by combining like terms on the right-hand side.

Starting with the equation:
7x - 12 = x + 2 + 2x - 3x

Let's group the x terms together:
7x - 12 = x + 2x - 3x + 2

Combine the x terms:
7x - 12 = 0x + 2

Simplifying further, since any number multiplied by zero is zero:
7x - 12 = 2

Now, let's isolate the x term by moving the constants to the opposite side of the equation. Add 12 to both sides:

7x - 12 + 12 = 2 + 12

Simplifying further:
7x = 14

Finally, divide both sides of the equation by 7 to solve for x:

7x/7 = 14/7

Simplifying the fraction on the right-hand side:
x = 2

Therefore, x is equal to 2.