QuestionSolve for x in the equation: -3(-x+4)-5x+5=-15.

Studdy Solution

STEP 1

Assumptions1. We are solving for the variable x in the equation -3(-x+4)-5x+5=-15. We assume that the equation is linear and has a unique solution for x

STEP 2

First, distribute the - across the terms inside the parentheses.
$-(-x+4) = --x + -4$

STEP 3

implify the expression.
$-3-x + -3 =3x -12$

STEP 4

Substitute this back into the original equation to get a new equation.
$3x -12 -x + = -15$

STEP 5

Combine like terms on the left side of the equation.
$3x -5x -12 +5 = -15$

STEP 6

implify the expression.
$-2x - = -15$

STEP 7

Add7 to both sides of the equation to isolate the term with x on one side.
$-2x -7 +7 = -15 +7$

STEP 8

implify the equation.
$-2x = -8$

STEP 9

Finally, divide both sides of the equation by -2 to solve for x.
$x = -8 / -2$

STEP 10

Calculate the value of x.
$x =4$ The solution to the equation is x =4.

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