0= -5/4(x - 6/5) find the solution to x

x = 6/5

Step-by-step explanation:

Solve for x:

0 = (-5 (x - 6/5))/4

Hint: | Put the fractions in x - 6/5 over a common denominator.

Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:

0 = (-5)/4 (5 x)/5 - 6/5

Hint: | Combine (5 x)/5 - 6/5 into a single fraction.

(5 x)/5 - 6/5 = (5 x - 6)/5:

0 = (-5)/4 (5 x - 6)/5

Hint: | In (-5 (5 x - 6))/(5×4), divide -5 in the numerator by 5 in the denominator.

(-5)/5 = (5 (-1))/5 = -1:

0 = (-1 (5 x - 6))/4

Hint: | Reverse the equality in 0 = (-(5 x - 6))/4 in order to isolate x to the left hand side.

0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:

(-(5 x - 6))/4 = 0

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

Multiply both sides of (-(5 x - 6))/4 = 0 by -4:

(-4 (-(5 x - 6)))/4 = -4×0

Hint: | In (-4 (-(5 x - 6)))/4, divide -4 in the numerator by 4 in the denominator.

(-4)/4 = (4 (-1))/4 = -1:

--1 (5 x - 6) = -4×0

Hint: | Multiply all instances of -1 in -(-(5 x - 6)).

(-1)^2 = 1:

5 x - 6 = -4×0

Hint: | Any number times zero is zero.

0 (-4) = 0:

5 x - 6 = 0

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

Add 6 to both sides:

5 x + (6 - 6) = 6

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

6 - 6 = 0:

5 x = 6

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

Divide both sides of 5 x = 6 by 5:

(5 x)/5 = 6/5

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

5/5 = 1:

x = 6/5

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step-by-step explanation:

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