Solve the following equation:
-2(x-3)+4=8x-20
please help me how to do this step by step plz i do understand how to do this, sorry ;-; And thank you for the ones the helped me with the other Q :D
-2(x-3)+4=8x-20
lose the parentheses:
-2x+6+4=8x-20
move all the x stuff to the left, and the numbers to the right:
-2x-8x = -20-6-4
simplify each sides:
-10x = -30
divide by -10 to get x alone:
x = 3
check that it fits the original equation:
-2(3-3)+4=8*3-20
0+4 = 24-20
yep
-2x+6+4=8x-20
subtract 10 from each side
-2x=8x-30
subtract 8x from each side
-10x=-30
divide each side by -10
x=3
oh okay but hold on when you got rid of the parentheses did you get 6 because 3*2=6? sorry if I'm wrong ^^;
You're right.
No problem, I'm here to help! Let's break down the steps to solve the given equation step by step.
Step 1: Distribute the -2 to the terms inside the parentheses.
-2(x-3) + 4 = 8x - 20
-2 * x = -2x
-2 * -3 = 6
The equation becomes:
-2x + 6 + 4 = 8x - 20
Step 2: Combine like terms on both sides of the equation.
-2x + 10 = 8x - 20
Step 3: Get the variable terms (terms with x) on one side of the equation.
To do this, we'll subtract 8x from both sides of the equation:
-2x + 10 - 8x = 8x - 20 - 8x
-10x + 10 = -20
Step 4: Move the constant term (10) to the other side of the equation.
To do this, we'll subtract 10 from both sides of the equation:
-10x + 10 - 10 = -20 - 10
-10x = -30
Step 5: Solve for x by dividing both sides of the equation by -10.
(-10x) / -10 = (-30) / -10
The equation simplifies to:
x = 3
So the solution to the equation -2(x-3) + 4 = 8x - 20 is x = 3.