Question
Solve the equation
x=−5
Evaluate
3x−2(3x−2)=19
Move the expression to the left side
3x−2(3x−2)−19=0
Calculate
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Evaluate
3x−2(3x−2)−19
Expand the expression
More Steps

Calculate
−2(3x−2)
Apply the distributive property
−2×3x−(−2×2)
Multiply the numbers
−6x−(−2×2)
Multiply the numbers
−6x−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−6x+4
3x−6x+4−19
Subtract the terms
More Steps

Evaluate
3x−6x
Collect like terms by calculating the sum or difference of their coefficients
(3−6)x
Subtract the numbers
−3x
−3x+4−19
Subtract the numbers
−3x−15
−3x−15=0
Move the constant to the right-hand side and change its sign
−3x=0+15
Removing 0 doesn't change the value,so remove it from the expression
−3x=15
Change the signs on both sides of the equation
3x=−15
Divide both sides
33x=3−15
Divide the numbers
x=3−15
Solution
More Steps

Evaluate
3−15
Reduce the numbers
1−5
Calculate
−5
x=−5
Show Solution

Rewrite the equation
x=−5
Evaluate
3x−2(3x−2)=19
Evaluate
More Steps

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

Calculate
−2(3x−2)
Apply the distributive property
−2×3x−(−2×2)
Multiply the numbers
−6x−(−2×2)
Multiply the numbers
−6x−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−6x+4
3x−6x+4
Subtract the terms
More Steps

Evaluate
3x−6x
Collect like terms by calculating the sum or difference of their coefficients
(3−6)x
Subtract the numbers
−3x
−3x+4
−3x+4=19
Move the constant to the right side
−3x=15
Multiply both sides
3x=−15
Solution
x=−5
Show Solution
