Question

Solve for x: negative 4 over 3, multiplied by x minus 6 equals negative 26

Answer 1

-4/3(x - 6) = -26
-4/3x + 8 = -26
-4/3x = -26 - 8
-4/3x = - 34
x = -34 * - 3/4
x = 102/4
x = 25.5 or 25 1/2

Answer 2

`x=(51)/(2)=25.5`

Explanation:

Given: expression 'negative 4 over 3, multiplied by x minus 6 equals negative 26'

We have to solve for x .

Consider the given expression 'negative 4 over 3, multiplied by x minus 6 equals negative 26'

Mathematically written as,

`\left(-(4)/(3)\right)\left(x-6\right)=-26`

Multiply both side b 3, we get,

`\left(-(4)/(3)\right)\left(x-6\right)\left(-3\right)=\left(-26\right)\left(-3\right)`

Simplify, we get,

`4\left(x-6\right)=78`

Divide both side by 4, we have,

`(4\left(x-6\right))/(4)=(78)/(4)`

Simplify, we have,

`x-6=(39)/(2)`

Adding 6 both side, we have,

`x-6+6=(39)/(2)+6`

Simplify, we have,

`x=(51)/(2)`

Thus,
`x=(51)/(2)=25.5`