Question Solve linear equation $3(2x-1)-3=0$ for $x$

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $3(2x - 1) - 3 = 0$ .
2. We need to solve for the variable $x$ .

STEP 2

First, we will distribute the 3 across the terms inside the parentheses.
$3(2x - 1) - 3 = 0$
$3 \cdot 2x - 3 \cdot 1 - 3 = 0$

STEP 3

Perform the multiplication.
$6x - 3 - 3 = 0$

STEP 4

Combine like terms.
$6x - 6 = 0$

STEP 5

Now, we will add 6 to both sides of the equation to isolate the term with the variable $x$ .
$6x - 6 + 6 = 0 + 6$

STEP 6

Simplify both sides of the equation.
$6x = 6$

STEP 7

To find the value of $x$ , we will divide both sides of the equation by 6.
$\frac{6x}{6} = \frac{6}{6}$

STEP 8

Simplify the equation to find the value of $x$ .
$x = 1$
The solution to the equation $3(2x - 1) - 3 = 0$ is $x = 1$ .

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