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Twice a number increased by 11 is equal to 32 less than three times the number. Find out the number.
Let x = the number. Now translate every part of the sentence. Twice a number increased through 11 is 2x + 11; 32 less than 3 times a number is 3x - 32. Set the expressions equal to each other: 2x + 11 = 3x - 32. Subtract 2x from both sides of the equation: 2x - 2x + 11 = 3x - 2x - 32. Simplify: 11 = x - 32. Add 32 to both sides of the equation: 11 + 32 = x - 32 + 32. The variable is now alone: x = 43.
Four is added to the quantity two minus the sum of negative seven and six. This answer is then multiplied through three. What is the result? This problem translates to the expr
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