-2(x-4) =14 what is the x

x = -3

Step-by-step explanation:

Solve for x:

-2 (x - 4) = 14

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

Divide both sides of -2 (x - 4) = 14 by -2:

(-2 (x - 4))/(-2) = 14/(-2)

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

(-2)/(-2) = 1:

x - 4 = 14/(-2)

Hint: | Reduce 14/(-2) to lowest terms. Start by finding the GCD of 14 and -2.

The gcd of 14 and -2 is 2, so 14/(-2) = (2×7)/(2 (-1)) = 2/2×7/(-1) = 7/(-1):

x - 4 = 7/(-1)

Hint: | Simplify the sign of 7/(-1).

Multiply numerator and denominator of 7/(-1) by -1:

x - 4 = -7

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

Add 4 to both sides:

x + (4 - 4) = 4 - 7

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

4 - 4 = 0:

x = 4 - 7

Hint: | Evaluate 4 - 7.

4 - 7 = -3:

x = -3

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