9-2(3x+5)=4x+3(x-9)

Question

how do I solve this and how do I check to make sure it's right?

Answer 1

Expand the parentheses:

9-6x-10=4x+3x-27. Separate the variable from the numbers:

9-10+27=4x+3x+6x.When a quantity changes sides in an equation, its sign changes.

26=13x, so 26/13=x, x=2.

To check the solution, plug in x=2 into the original equation:

9-2(3×2+5)=4×2+3(2-9),

9-2(6+5)=8+3(-7),

9-2×11=8-21,

9-22=8-21,

-13=-13✔️ so the equation balances, confirming the solution x=2.