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

Answer:

$x=\frac{51}{2}=25.5$

Step-by-step 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,

$\left(-\frac{4}{3}\right)\left(x-6\right)=-26$

Multiply both side b 3, we get,

$\left(-\frac{4}{3}\right)\left(x-6\right)\left(-3\right)=\left(-26\right)\left(-3\right)$

Simplify, we get,

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

Divide both side by 4, we have,

$\frac{4\left(x-6\right)}{4}=\frac{78}{4}$

Simplify, we have,

$x-6=\frac{39}{2}$

Adding 6 both side, we have,

$x-6+6=\frac{39}{2}+6$

Simplify, we have,

$x=\frac{51}{2}$

Thus, $x=\frac{51}{2}=25.5$