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How many solutions does 3(x + 5) – 3 = 2(3x + 1) – 3x have? Show your work.

Sagot :

Answer: There are no solution

Step 1: Simplify both sides of the equation.

3(x+5)−3=2(3x+1)−3x

(3)(x)+(3)(5)+−3=(2)(3x)+(2)(1)+−3x(Distribute)

3x+15+−3=6x+2+−3x

(3x)+(15+−3)=(6x+−3x)+(2)(Combine Like Terms)

3x+12=3x+2

3x+12=3x+2

Step 2: Subtract 3x from both sides.

3x+12−3x=3x+2−3x

12=2

Step 3: Subtract 12 from both sides.

12−12=2−12

0=−10

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