what does x equal in this problem? -2/3(x+2)=12?
-2/3x times -4/3 equals 12
add 4/3 to both sides
-2/3x = 13 1/3
multiply both sides by -3/2
x = 40/3 times -3/2
so x = -20
Yes, I might have done it a little differently though.
multiply both sides by -3/2 right off the bat
x + 2 = 12(-3/2)
x + 2 = -18 now add -2 to both sides
x = -20
To find out what x equals in the equation -2/3(x+2) = 12, we need to solve for x. Here's how you can do it:
Step 1: Distribute the -2/3 to the terms inside the parentheses:
-2/3 * x - 2/3 * 2 = 12
Step 2: Simplify by multiplying:
(-2/3)x - 4/3 = 12
Step 3: Move the constant term (-4/3) to the other side of the equation by adding it to both sides:
(-2/3)x = 12 + 4/3
Step 4: Combine the constant terms on the right side:
(-2/3)x = 40/3
Step 5: To isolate x, divide both sides of the equation by -2/3. Remember that dividing by a fraction is equivalent to multiplying by its reciprocal:
x = (40/3) / (-2/3)
Step 6: Simplify the expression on the right side by multiplying the numerators and denominators of the fractions:
x = (40/3) * (-3/2)
Step 7: Cancel out the common factors of 3 in the numerator and denominator:
x = 40 * (-1/2)
Step 8: Multiply the remaining fractions:
x = -40/2
Step 9: Simplify the fraction by dividing the numerator by the denominator:
x = -20
Therefore, x equals -20.