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