1. Solve the equation.
5(x – 4) + 3x – 9x = 6 – (2x + 5) + 8x
Step 1: Use the distributive property to remove the parentheses. (2 points)

Step 2: Collect any like terms on both sides of the equation. (2 points)

Step 3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides.) (2 points)

Step 4: Bring all the constant terms to one side. A constant term is a number without a variable. (2 points)

Step 5: Now solve for x. Show your work. (2 points)

5(x – 4) + 3x – 9x = 6 – (2x + 5) + 8x

step1:- 5x - 20 + 3x - 9x = 6 - 2x - 5 + 8x

step2:- 5x + 3x - 9x - 20 = 8x - 2x + 6 - 5

-x - 20 = 6x + 1

stp 3

-20 = 7x + 1
step 4

-21 = 7x
divide both sides by 7:-

-3 = x

thats the solution x = -3

Answer Link

HafsaM HafsaM · Answer 2 · 2022-07-30T06:58:10+02:00

By solving the given equation using steps, we get

Value of x is -3.

What is an equation?

An equation is a mathematical statement containing an equals sign. Numbers may be represented by unknown variables. To solve an equation, the value of these variables must be found.

Parts of an equation

Variable: Varying quantity represented by a letter or symbol

Constant : A fixed quantity that does not vary

Coefficient : A number which multiplies a variable

Operator : A symbol indicating what operation must be done.

Given equation

5(x – 4) + 3x – 9x = 6 – (2x + 5) + 8x

Step 1: Using the distributive property to remove the parentheses.

⇒ 5x - 5 × 4 + 3x - 9x = 6 - 2x - 5 + 8x

⇒ 5x + 3x - 9x -20 = 8x - 2x +6 - 5

Step 2: Collecting like terms on both sides of the equation.

⇒ -x - 20 = 6x + 1

Step 3: Bringing all variable terms to one side of the equation.

Add x to both sides

⇒ -x - 20 + x = 6x + 1 + x

⇒ -20 = 7x + 1

Step 4: Bringing all the constant terms to one side. A constant term is a number without a variable.

⇒ 7x = -20 - 1

⇒ 7x = -21

Step 5: Solving for x.

⇒ x = [tex]\frac{-21}{7}[/tex]

⇒ x = -3

Hence, Value of x is -3.

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