Solve – 6(x – 3) + x + 3 = -9 for x.

In this equation, the value of x is equal to 6.

Step-by-step explanation:

We are given an algebraic equation in which we need to solve for x.

We can use several properties and algebraic methods to solve this equation.

Firstly, we want to use the distributive property to evaluate the first term in the equation: -6(x - 3).

By distributing the -6 through, we get -6x and positive 18. Then, we need to begin combining like terms. Let's start with our constants (or the terms without a variable).

Then, we can combine our terms with variables.

Now, we can use the subtraction property of equality which states that if we subtract a term from one side of an equation, we must also subtract it from the opposite side. Therefore, we want to get x by itself, so we can subtract 21 from both sides using the subtraction property of equality to do this.

Finally, we can use the division property of equality and divide both sides of the equation by -5 to isolate x.

Therefore, by solving the multi-step equation, we solved that x = 6.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

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