Question
Solve the equation
x=−23
Alternative Form
x=−1.5
Evaluate
2(x−3)−x=3(x−1)
Calculate
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Evaluate
2(x−3)−x
Expand the expression
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Calculate
2(x−3)
Apply the distributive property
2x−2×3
Multiply the numbers
2x−6
2x−6−x
Subtract the terms
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Evaluate
2x−x
Collect like terms by calculating the sum or difference of their coefficients
(2−1)x
Subtract the numbers
x
x−6
x−6=3(x−1)
Calculate
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Evaluate
3(x−1)
Apply the distributive property
3x−3×1
Any expression multiplied by 1 remains the same
3x−3
x−6=3x−3
Move the expression to the left side
x−6−(3x−3)=0
Calculate
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Add the terms
x−6−(3x−3)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x−6−3x+3
Subtract the terms
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Evaluate
x−3x
Collect like terms by calculating the sum or difference of their coefficients
(1−3)x
Subtract the numbers
−2x
−2x−6+3
Add the numbers
−2x−3
−2x−3=0
Move the constant to the right-hand side and change its sign
−2x=0+3
Removing 0 doesn't change the value,so remove it from the expression
−2x=3
Change the signs on both sides of the equation
2x=−3
Divide both sides
22x=2−3
Divide the numbers
x=2−3
Solution
x=−23
Alternative Form
x=−1.5
Show Solution

Rewrite the equation
2x=−3
Evaluate
2(x−3)−x=3(x−1)
Evaluate
More Steps

Evaluate
2(x−3)−x
Expand the expression
More Steps

Calculate
2(x−3)
Apply the distributive property
2x−2×3
Multiply the numbers
2x−6
2x−6−x
Subtract the terms
More Steps

Evaluate
2x−x
Collect like terms by calculating the sum or difference of their coefficients
(2−1)x
Subtract the numbers
x
x−6
x−6=3(x−1)
Multiply
More Steps

Evaluate
3(x−1)
Apply the distributive property
3x−3×1
Any expression multiplied by 1 remains the same
3x−3
x−6=3x−3
Move the variable to the left side
−2x−6=−3
Move the constant to the right side
−2x=3
Solution
2x=−3
Show Solution
