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Question Solve the linear equation 42,000+3,000x=90,000−5,000x42,000+3,000 x=90,000-5,000 x for xx.

Studdy Solution

STEP 1

Assumptions
1. The equation to solve is 42,000+3,000x=90,000−5,000x42,000 + 3,000x = 90,000 - 5,000x.
2. We need to find the value of xx.

STEP 2

First, we will collect like terms to simplify the equation. We will move all terms involving xx to one side of the equation and constants to the other side.

STEP 3

Add 5,000x5,000x to both sides of the equation to move the xx-terms to the left side.
42,000+3,000x+5,000x=90,000−5,000x+5,000x42,000 + 3,000x + 5,000x = 90,000 - 5,000x + 5,000x

STEP 4

Simplify the left side by combining the xx-terms.
42,000+8,000x=90,00042,000 + 8,000x = 90,000

STEP 5

Subtract 42,00042,000 from both sides of the equation to move the constant terms to the right side.
42,000+8,000x−42,000=90,000−42,00042,000 + 8,000x - 42,000 = 90,000 - 42,000

STEP 6

Simplify the equation by performing the subtraction.
8,000x=48,0008,000x = 48,000

STEP 7

Now, divide both sides of the equation by 8,0008,000 to solve for xx.
8,000x8,000=48,0008,000\frac{8,000x}{8,000} = \frac{48,000}{8,000}

STEP 8

Perform the division to find the value of xx.
x=6x = 6
The value of xx is 6.

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