Simplify the expression 3(2x-4) + 2(x+5) and choose the correct option.

March 29, 2026Mathematics

ScanSolve AI Answer

March 29, 2026

Answer

B. 8x-2

Step 1: Distribute the numbers into the parentheses. $3(2x-4) + 2(x+5) = (3 \times 2x) - (3 \times 4) + (2 \times x) + (2 \times 5)$ $= 6x - 12 + 2x + 10$

Step 2: Combine like terms (terms with $x$ and constant terms). $= (6x + 2x) + (-12 + 10)$ $= 8x - 2$

Comparing this result with the given options: A. $7x-2$ B. $8x-2$ C. $8x+2$ D. $7x+2$

The correct option is B.

The final answer is $\boxed{B. 8x-2}$ .

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Quick Answer

Distribute the numbers into the parentheses. 3(2x-4) + 2(x+5) = (3 × 2x) - (3 × 4) + (2 × x) + (2 × 5) = 6x - 12 + 2x + 10 Step 2: Combine like terms (terms with x and constant terms).

Asked on March 29, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 29, 2026

Step 1: Distribute the numbers into the parentheses. 3(2x-4) + 2(x+5) = (3 × 2x) - (3 × 4) + (2 × x) + (2 × 5) = 6x - 12 + 2x + 10 Step 2: Combine like terms (terms with x and constant terms). = (6x + 2x) + (-12 + 10) = 8x - 2 Comparing this result with the given options: A. 7x-2 B. 8x-2 C. 8x+2 D. 7x+2 The correct option is B. The final answer is B. 8x-2.