solve for x 5x + 3(x - 2) = -2(x + 1)
5x + 3(x - 2) = -2(x + 1) is equal to: x=2/5 Solution: Solve for x: 3 (x-2)+5 x = -2 (x+1) Distribute 3 over x-2. 3 (x-2) = 3 x-6: 3 x-6+5 x = -2 (x+1) Add like terms in 5 x+3 x-6. 3 x+5 x = 8 x: 8 x-6 = -2 (x+1) Write the linear polynomial on the [ left hand side in standard form. Expand out terms of the right hand side: 8 x-6 = -2-2 x Move terms with x to the left hand side. Add 2 x to both sides: 8 x+2 x-6 = (2 x-2 x)-2 Look for two terms that sum to zero. 2 x-2 x = 0: 8 x+2 x-6 = -2 Add like terms in 8 x+2 x-6. 8 x+2 x = 10 x: 10 x-6 = -2 Isolate terms with x to the left hand side. Add
6 to both sides: 10 x+(6-6) = 6-2 Look for two terms that sum to zero. 6-6 = 0: 10 x = 6-2 Evaluate 6-2. 6-2 = 4: 10 x = 4 Solve for x. Divide both sides of 10 x = 4 by 10: (10 x)/10 = 4/10 Any nonzero number divided by itself is one. 10/10 = 1: x = 4/10 Reduce 4/10 to lowest terms. The gcd of 4 and 10 is 2, so 4/10 = (2×2)/(2×5) = 2/2×2/5 = 2/5: Answer: | | x = 2/5 ]
Question
Updated 6/12/2014 2:02:48 PM
Rating
3
5x + 3(x - 2) = -2(x + 1);

5x + 3x - 6 = -2x - 2;

8x - 6 = -2x - 2;

8x + 2x = -2 + 6;

10x = 4;

x = 4/10;

x = 2/5

27,929,627
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