Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Oct 30, 2023

Solve the linear equation $2(x+1)=10$ for the variable $x$ .

STEP 1

Assumptions1. The equation to solve is $(x+1)=10$ . We are solving for the variable $x$

STEP 2

We start by distributing the2 on the left side of the equation to each term inside the parentheses.
$2(x+1) =2x +2$

STEP 3

So, the equation becomes $2x +2 =10$

STEP 4

Next, we need to isolate $x$ on one side of the equation. We can do this by subtracting2 from both sides of the equation.
$2x +2 -2 =10 -2$

STEP 5

This simplifies to $2x =8$

STEP 6

Finally, we divide both sides of the equation by2 to solve for $x$ .
$x =8 /2$

STEP 7

This gives us the solution $x =4$ So, the solution to the equation $2(x+1)=10$ is $x=4$ .

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