Reflecting on Simplifying Algebraic Expressions

What is the equivalent expression to 6(2-3x)-8(4x+1) ?

A. -50x + 4

Answer:

The equivalent expression to 6(2-3x)-8(4x+1) is -50x + 4.

Reflecting on the algebraic expression 6(2-3x)-8(4x+1), it is important to follow the correct steps to simplify it. By applying the distributive property and combining like terms, we arrive at the final answer of -50x + 4.

When simplifying the expression, we first distribute the coefficients to the terms within the parentheses. Multiplying 6 by 2 and -3x gives us 12 - 18x. Similarly, multiplying -8 by 4x and 1 results in -32x - 8. By combining like terms, we get -50x + 4 as the equivalent expression.

Understanding how to simplify algebraic expressions is crucial in solving mathematical equations efficiently. By practicing and mastering this skill, we can tackle more complex problems with confidence.