Question

3. Describe what is being done in each step while solving the

equation.
2(- 3x + 4) = 5x + 2
- 6x + 8 = 5x + 2
8 = 11x + 2
6 = 11x
e)
x = í

Answer 1

The steps involve distribution, combining like terms, and isolating the variable to solve the equation 2(-3x + 4) = 5x + 2, which ultimately yields the solution x = 6/11.

Step-by-step explanation:

Steps for Solving the Linear Equation

The steps involved in solving the equation 2(-3x + 4) = 5x + 2 involve several algebraic techniques such as distribution, combining like terms, and isolation of the variable.

Distribute the 2 into the parentheses: 2(-3x) + 2(4) becomes -6x + 8.

Combine like terms on both sides: Add 6x to both sides, yielding 8 = 11x + 2.

Isolate the variable by subtracting 2 from both sides, resulting in 6 = 11x.

Finally, solve for x by dividing both sides by 11, giving x = 6/11.

Note that each step adheres to the basic principles of algebra, such as performing the same operation on both sides of the equation to maintain equality. By respecting these rules, we ensure that the balance of the equation is upheld while we solve for the unknown variable, x

Answer 2

From a) to b), you expand the brackets, which is -6x+8.

From b) to c), you bring -6x to the other side of the equation.

By bringing it to the other side, -6x becomes +6x.

You then do 5x+6x, which is 11x.

From c) to d), you bring +2 to the other side of the equation.

By bringing it to the other side, +2 becomes -2.

You then do 8 - 2, which is 6.

From d) to e), in order to get x by itself, you divide it by 11, hence 6/11.

This makes the equation become x = 6/11.


Sorry if that made no sense