Math  /  Algebra

Question3(2x+4)+2(x3)3(2 x+4)+2(x-3)

Studdy Solution

STEP 1

1. We are asked to simplify the given algebraic expression.
2. The expression involves basic algebraic operations such as distribution and combining like terms.

STEP 2

1. Distribute the constants into the parentheses.
2. Combine like terms.

STEP 3

Distribute the constant 33 into the first parentheses:
3(2x+4)=3×2x+3×4=6x+12 3(2x + 4) = 3 \times 2x + 3 \times 4 = 6x + 12

STEP 4

Distribute the constant 22 into the second parentheses:
2(x3)=2×x+2×(3)=2x6 2(x - 3) = 2 \times x + 2 \times (-3) = 2x - 6

STEP 5

Combine the results from the distribution:
6x+12+2x6 6x + 12 + 2x - 6

STEP 6

Combine like terms:
- Combine the xx terms: 6x+2x=8x6x + 2x = 8x - Combine the constant terms: 126=612 - 6 = 6
The simplified expression is:
8x+6 8x + 6

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