3(x+ -5)+7(x+2)
3x - 15 + 7x + 14
10x - 1
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To simplify the given expression 3(x+ -5)+7(x+2), we need to apply the distributive property and combine like terms.
Step 1: Distribute the coefficients outside the parentheses to the terms inside.
3(x+ -5)+7(x+2) = 3x + 3(-5) + 7x + 7(2)
Step 2: Simplify the arithmetic inside the parentheses.
3x + 3(-5) + 7x + 7(2) = 3x - 15 + 7x + 14
Step 3: Combine like terms by adding or subtracting coefficients.
3x - 15 + 7x + 14 = (3x + 7x) + (-15 + 14) = 10x - 1
The simplified form of the expression 3(x+ -5)+7(x+2) is 10x - 1.