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QuestionSolve the equation: −(1−5x)+8=−17+2x-(1-5 x)+8=-17+2 x.

Studdy Solution

STEP 1

Assumptions1. The problem is a linear equation in one variable (x). . The goal is to isolate x on one side of the equation.

STEP 2

First, we simplify the equation by distributing the negative sign on the left side of the equation.
−(1−5x)+8=−1+5x+8-(1-5x)+8 = -1+5x+8

STEP 3

implify the left side of the equation by combining like terms.
−1+5x+8=5x+7-1+5x+8 =5x+7

STEP 4

Now, we rewrite the equation with the simplified left side.
x+7=−17+2xx+7=-17+2x

STEP 5

To isolate x, we need to get all terms with x on one side of the equation and the constants on the other side. We can do this by subtracting2x from both sides of the equation.
5x−2x+7=−17+2x−2x5x-2x+7=-17+2x-2x

STEP 6

implify the equation by combining like terms.
3x+=−173x+=-17

STEP 7

Next, subtract7 from both sides of the equation to isolate the term with x on one side.
3x+7−7=−17−73x+7-7=-17-7

STEP 8

implify the equation by combining like terms.
3x=−243x=-24

STEP 9

Finally, to solve for x, we divide both sides of the equation by3.
3x3=−243\frac{3x}{3}=\frac{-24}{3}

STEP 10

implify the equation to find the value of x.
x=−8x=-8So, the solution to the equation −(−5x)+8=−17+2x-(-5x)+8=-17+2x is x=−8x=-8.

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