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Paul [167]
3 years ago
14

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

Mathematics
2 answers:
Burka [1]3 years ago
8 0

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

s2008m [1.1K]3 years ago
4 0
-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
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