Math

QuestionSolve the equation 9 + 6 = 2x + 3. Express your answer as an integer, simplified fraction, or rounded decimal.

Studdy Solution

STEP 1

Assumptions1. We are solving for the variable x in the equation 9+6=x+39+6=x+3. . The equation is linear and has a unique solution.

STEP 2

First, we simplify the left-hand side of the equation.
9+6=159 +6 =15So, the equation becomes15=2x+15 =2x +

STEP 3

Next, we isolate the term with the variable x on one side of the equation. We can do this by subtracting3 from both sides of the equation.
153=2x+3315 -3 =2x +3 -3

STEP 4

implify both sides of the equation.
12=2x12 =2x

STEP 5

Finally, we solve for x by dividing both sides of the equation by2.
12/2=2x/212 /2 =2x /2

STEP 6

implify to find the value of x.
x=6x =6So, the solution to the equation 9+6=2x+39+6=2x+3 is x=6x=6.

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