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# Solve the equation $3\left(2x-2\right)=2\left(3x+9\right)$

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##  Step-by-step Solution 

Problem to solve:

$3\left(2x-2\right)=2\left(3x+9\right)$

Specify the solving method

1

Factor the polynomial $\left(2x-2\right)$ by it's GCF: $2$

$6\left(x-1\right)=2\left(3x+9\right)$

Learn how to solve one-variable linear equations problems step by step online.

$6\left(x-1\right)=2\left(3x+9\right)$

Learn how to solve one-variable linear equations problems step by step online. Solve the equation 3(2x-2)=2(3x+9). Factor the polynomial \left(2x-2\right) by it's GCF: 2. Factor the polynomial \left(3x+9\right) by it's GCF: 3. Cancel 6 from both sides of the equation. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side.

false

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even points

### Main topic:

One-variable linear equations

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