Algebra
Calculus
Trigonometry
Matrix
Question
3(x+2)−2(x−1)=19
Solve the equation
x=11
Evaluate
3(x+2)−2(x−1)=19
Move the expression to the left side
3(x+2)−2(x−1)−19=0
Calculate
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Evaluate
3(x+2)−2(x−1)−19
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)−19
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+2−19
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+2−19
Calculate the sum or difference
x−11
x−11=0
Move the constant to the right-hand side and change its sign
x=0+11
Solution
x=11
Show Solution
Rewrite the equation
x=11
Evaluate
3(x+2)−2(x−1)=19
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=19
Solution
x=11
Show Solution
Graph
