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Math  /  Algebra

Question2x+12=42 x+12=4

Studdy Solution

STEP 1

1. The equation 2x+12=4 2x + 12 = 4 is a linear equation in one variable.
2. The goal is to solve for x x by isolating it on one side of the equation.
3. Basic algebraic operations such as addition, subtraction, multiplication, and division will be used.

STEP 2

1. Simplify the equation by isolating the term with x x .
2. Solve for x x by performing algebraic operations.
3. Verify the solution by substituting it back into the original equation.

STEP 3

Begin by isolating the term with x x . To do this, subtract 12 from both sides of the equation to remove the constant term on the left side:
2x+12−12=4−12 2x + 12 - 12 = 4 - 12

STEP 4

Simplify both sides of the equation:
2x=−8 2x = -8

STEP 5

Now, solve for x x by dividing both sides of the equation by 2:
2x2=−82 \frac{2x}{2} = \frac{-8}{2}

STEP 6

Simplify the equation:
x=−4 x = -4

STEP 7

Verify the solution by substituting x=−4 x = -4 back into the original equation:
2(−4)+12=4 2(-4) + 12 = 4

STEP 8

Simplify the left side:
−8+12=4 -8 + 12 = 4
4=4 4 = 4
Since both sides are equal, the solution is verified.
The solution is:
−4 \boxed{-4}

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