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Math

Question Solve the linear equation 10+5x=−1010+5x=-10 for xx.

Studdy Solution

STEP 1

Assumptions
1. We are given a linear equation 10+5x=−1010 + 5x = -10.
2. We need to solve for the variable xx.

STEP 2

To isolate the variable xx, we first need to move the constant term on the left side of the equation to the right side. We do this by subtracting 1010 from both sides of the equation.
10+5x−10=−10−1010 + 5x - 10 = -10 - 10

STEP 3

Simplify both sides of the equation.
5x=−205x = -20

STEP 4

Now, to solve for xx, we need to divide both sides of the equation by the coefficient of xx, which is 55.
5x5=−205\frac{5x}{5} = \frac{-20}{5}

STEP 5

Simplify both sides of the equation to find the value of xx.
x=−4x = -4
The solution to the linear equation 10+5x=−1010 + 5x = -10 is x=−4x = -4.

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