How many solutions exist for the given equation? Solve for x.

6(x – 1) = 9(x + 2)

x = –8
x = –3
x = 3
x = 8

-8

Reorder the terms:

-6 + 6x = 9[2 + x]

-6 + 6x = [2 * 9 + x * 9]

-6 + 6x = [18 + 9x]

Solving

-6 + 6x = 18 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

-6 + 6x + -9x = 18 + 9x + -9x

Combine like terms: 6x + -9x = -3x

-6 + -3x = 18 + 9x + -9x

Combine like terms: 9x + -9x = 0

-6 + -3x = 18 + 0

-6 + -3x = 18

Add '6' to each side of the equation.

-6 + 6 + -3x = 18 + 6

Combine like terms: -6 + 6 = 0

0 + -3x = 18 + 6

-3x = 18 + 6

Combine like terms: 18 + 6 = 24

-3x = 24

Divide each side by '-3'.

x = -8

Simplifying

x = -8

5/12

Step-by-step explanation:

25/60=5/12

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