Which equation has solution x = -3? A) 2x - 7 = -1
B) 3x + 8 = 1
C) 1/2x+8=10
D) 1/2(2x-6)=-6

D) 1/2(2x-6)=-6 = x = -3

Step-by-step explanation:

A. x = 3

B. x = 7/3

C. x = 4

D. x = -3

Solve for x:

(2 x - 6)/2 = -6

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (2 x - 6)/2 = -6 by 2:

(2 (2 x - 6))/2 = -6×2

Hint: | Cancel common terms in the numerator and denominator of (2 (2 x - 6))/2.

(2 (2 x - 6))/2 = 2/2×(2 x - 6) = 2 x - 6:

2 x - 6 = -6×2

Hint: | Multiply 2 and -6 together.

2 (-6) = -12:

2 x - 6 = -12

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

2 x + (6 - 6) = 6 - 12

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

2 x = 6 - 12

Hint: | Evaluate 6 - 12.

6 - 12 = -6:

2 x = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = -6 by 2:

(2 x)/2 = (-6)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = (-6)/2

Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.

The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:

x = -3

207/8 is the right