Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 07, 2023

Solve the linear equation $4x + 6 = 17$ for the value of $x$ .

STEP 1

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

STEP 2

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

STEP 3

So, the equation becomes $x +9 =17$

STEP 4

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

STEP 5

This simplifies to $4x =8$

STEP 6

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

STEP 7

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

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