Rewrite in simplest terms: -2(4x+1)+6(5x-1) Answer:

Distribute -2: Distribute -2 to the terms inside the first set of parentheses. -2 * (4x + 1) = -2 * 4x + (-2) * 1 = -8x - 2Distribute 6: Distribute 6 to the terms inside the second set of parentheses. 6 * (5x - 1) = 6 * 5x + 6 * (-1) = 30x - 6Combine results: Combine the results from Step 1 and Step 2. -8x - 2 + 30x - 6Combine like terms: Combine like terms by adding the coefficients of x together and the constant terms together. (-8x + 30x) + (-2 - 6) = 22x - 8Check for simplification: Check if the expression can be simplified further. The expression 22x - 8 is already in its simplest form; there are no common factors to factor out, and the terms are combined.

Home

Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Rewrite in simplest terms:

-2(4 x+1)+6(5 x-1)

\newline

Answer:

Distribute $-2$ : Distribute $-2$ to the terms inside the first set of parentheses. $\newline$ -2 \times (4x + 1) = -2 \times 4x + (-2) \times 1$\newline= -8x - 2$
Distribute $6$ : Distribute $6$ to the terms inside the second set of parentheses. $\newline$ $6 \times (5x - 1) = 6 \times 5x + 6 \times (-1)$ $\newline$ $= 30x - 6$
Combine results: Combine the results from Step $1$ and Step $2$ . $\newline$ $-8x - 2 + 30x - 6$
Combine like terms: Combine like terms by adding the coefficients of $x$ together and the constant terms together. $(-8x + 30x) + (-2 - 6) = 22x - 8$
Check for simplification: Check if the expression can be simplified further. $\newline$ The expression $22x - 8$ is already in its simplest form; there are no common factors to factor out, and the terms are combined.