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QuestionSolve for xx in the equation: −0.10(28)+0.35x=0.05(x−20)-0.10(28)+0.35 x=0.05(x-20).

Studdy Solution

STEP 1

Assumptions1. The equation to solve is −0.10(28)+0.35x=0.05(x−20)-0.10(28)+0.35 x=0.05(x-20). We are solving for xx

STEP 2

First, simplify the equation by distributing the multiplication across the terms in the parentheses.
−0.10(28)=−2.8-0.10(28) = -2.80.05(x−20)=0.05x−10.05(x-20) =0.05x -1So the equation becomes−2.8+0.35x=0.05x−1-2.8 +0.35x =0.05x -1

STEP 3

Next, we want to isolate the variable xx on one side of the equation. We can do this by subtracting 0.05x0.05x from both sides of the equation.
−2.8+0.35x−0.05x=0.05x−1−0.05x-2.8 +0.35x -0.05x =0.05x -1 -0.05xThis simplifies to−2.8+0.3x=−1-2.8 +0.3x = -1

STEP 4

To further isolate xx, add 2.82.8 to both sides of the equation.
−2.8+0.3x+2.8=−1+2.8-2.8 +0.3x +2.8 = -1 +2.8This simplifies to0.3x=1.80.3x =1.8

STEP 5

Finally, to solve for xx, divide both sides of the equation by 0.30.3.
x=1.8/0.3x =1.8 /0.3

STEP 6

Calculate the value of xx.
x=1.8/0.3=6x =1.8 /0.3 =6So, x=6x=6.

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