Math  /  Algebra

Question5x5=3x+5-5 x-5=-3 x+5
Attempt 1 out of 2

Studdy Solution

STEP 1

1. The given equation is a linear equation in one variable xx.
2. The goal is to solve for xx by isolating it on one side of the equation.
3. Basic algebraic operations such as addition, subtraction, multiplication, and division will be used to solve the equation.

STEP 2

1. Simplify the equation by combining like terms.
2. Isolate the variable xx on one side of the equation.
3. Solve for xx.

STEP 3

Start by adding 5x5x to both sides of the equation to combine like terms involving xx.
5x5+5x=3x+5+5x -5x - 5 + 5x = -3x + 5 + 5x

STEP 4

Simplify the equation by combining like terms on both sides.
5=2x+5 -5 = 2x + 5

STEP 5

Subtract 55 from both sides of the equation to isolate the term containing xx.
55=2x+55 -5 - 5 = 2x + 5 - 5

STEP 6

Simplify the equation by performing the subtraction.
10=2x -10 = 2x

STEP 7

Divide both sides of the equation by 22 to solve for xx.
102=2x2 \frac{-10}{2} = \frac{2x}{2}

STEP 8

Simplify the equation by performing the division.
5=x -5 = x
Solution: The solution to the equation 5x5=3x+5-5x - 5 = -3x + 5 is x=5x = -5.

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