Question
Solve the equation
x=−1
Evaluate
3(x+2)−2(x−1)=7
Move the expression to the left side
3(x+2)−2(x−1)−7=0
Calculate
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Evaluate
3(x+2)−2(x−1)−7
Expand the expression
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Calculate
3(x+2)
Apply the distributive property
3x+3×2
Multiply the numbers
3x+6
3x+6−2(x−1)−7
Expand the expression
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Calculate
−2(x−1)
Apply the distributive property
−2x−(−2×1)
Any expression multiplied by 1 remains the same
−2x−(−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2x+2
3x+6−2x+2−7
Subtract the terms
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Evaluate
3x−2x
Collect like terms by calculating the sum or difference of their coefficients
(3−2)x
Subtract the numbers
x
x+6+2−7
Calculate the sum or difference
x+1
x+1=0
Move the constant to the right-hand side and change its sign
x=0−1
Solution
x=−1
Show Solution

Rewrite the equation
x=−1
Evaluate
3(x+2)−2(x−1)=7
Evaluate
More Steps

Evaluate
3(x+2)−2(x−1)
Expand the expression
More Steps

Calculate
3(x+2)
Apply the distributive property
3x+3×2
Multiply the numbers
3x+6
3x+6−2(x−1)
Expand the expression
More Steps

Calculate
−2(x−1)
Apply the distributive property
−2x−(−2×1)
Any expression multiplied by 1 remains the same
−2x−(−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2x+2
3x+6−2x+2
Subtract the terms
More Steps

Evaluate
3x−2x
Collect like terms by calculating the sum or difference of their coefficients
(3−2)x
Subtract the numbers
x
x+6+2
Add the numbers
x+8
x+8=7
Solution
x=−1
Show Solution
