Solve for x 7(5x+9)=18-(x+9)

Problem

7*(5*x+9)=18−(x+9)

Solution

1. Distribute the constants on both sides of the equation. On the left, multiply 7 by both 5*x and 9 On the right, distribute the negative sign to both x and 9

35*x+63=18−x−9

2. Combine like terms on the right side of the equation by subtracting 9 from 18

35*x+63=9−x

3. Isolate the variable terms by adding x to both sides of the equation.

36*x+63=9

4. Isolate the constant terms by subtracting 63 from both sides of the equation.

36*x=−54

5. Solve for x by dividing both sides by 36

x=(−54)/36

6. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, 18

x=−3/2

Final Answer

x=−3/2

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