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QuestionSolve the equation: −8+4x=1−(x−1)-8 + 4x = 1 - (x - 1).

Studdy Solution

STEP 1

Assumptions1. The equation to solve is −8+4x=1−(x−1)-8+4x=1-(x-1). We are solving for xx

STEP 2

We can simplify the right side of the equation by distributing the negative sign to the terms inside the parenthesis.
−8+4x=1−x+1-8+4x=1-x+1

STEP 3

Combine like terms on the right side of the equation.
−8+x=2−x-8+x=2-x

STEP 4

To isolate xx, we can add xx to both sides of the equation to eliminate −x-x on the right side.
−8+4x+x=2−x+x-8+4x+x=2-x+x

STEP 5

implify both sides of the equation.
−8+5x=2-8+5x=2

STEP 6

Next, add8 to both sides of the equation to eliminate −8-8 on the left side.
−8+5x+8=2+8-8+5x+8=2+8

STEP 7

implify both sides of the equation.
5x=105x=10

STEP 8

Finally, divide both sides of the equation by5 to solve for xx.
5x5=105\frac{5x}{5}=\frac{10}{5}

STEP 9

implify both sides of the equation.
x=2x=2The solution to the equation −8+4x=−(x−)-8+4x=-(x-) is x=2x=2.

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