Math

Question Solve the linear equation 4x+6=174x + 6 = 17 for the value of xx.

Studdy Solution

STEP 1

Assumptions1. The equation is 4x+6+3=174x +6 +3 =17 . We are solving for xx

STEP 2

First, we simplify the left side of the equation by adding the constants together.
4x+6+=4x+94x +6 + =4x +9

STEP 3

So, the equation becomesx+9=17x +9 =17

STEP 4

Next, we isolate the term with xx on one side of the equation. We can do this by subtracting9 from both sides of the equation.
4x+99=1794x +9 -9 =17 -9

STEP 5

This simplifies to4x=84x =8

STEP 6

Finally, we solve for xx by dividing both sides of the equation by4.
x=84x = \frac{8}{4}

STEP 7

This simplifies tox=2x =2So, the solution to the equation 4x+6+3=174x +6 +3 =17 is x=2x =2.

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