Question
Solve the equation
x=−14
Evaluate
3x−5(2x+1)=3(3−2x)
Calculate
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Evaluate
3x−5(2x+1)
Expand the expression
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Calculate
−5(2x+1)
Apply the distributive property
−5×2x−5×1
Multiply the numbers
−10x−5×1
Any expression multiplied by 1 remains the same
−10x−5
3x−10x−5
Subtract the terms
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Evaluate
3x−10x
Collect like terms by calculating the sum or difference of their coefficients
(3−10)x
Subtract the numbers
−7x
−7x−5
−7x−5=3(3−2x)
Calculate
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Evaluate
3(3−2x)
Apply the distributive property
3×3−3×2x
Multiply the numbers
9−3×2x
Multiply the numbers
9−6x
−7x−5=9−6x
Move the expression to the left side
−7x−5−(9−6x)=0
Calculate
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Add the terms
−7x−5−(9−6x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−7x−5−9+6x
Add the terms
More Steps

Evaluate
−7x+6x
Collect like terms by calculating the sum or difference of their coefficients
(−7+6)x
Add the numbers
−x
−x−5−9
Subtract the numbers
−x−14
−x−14=0
Move the constant to the right-hand side and change its sign
−x=0+14
Removing 0 doesn't change the value,so remove it from the expression
−x=14
Solution
x=−14
Show Solution

Rewrite the equation
x=−14
Evaluate
3x−5(2x+1)=3(3−2x)
Evaluate
More Steps

Evaluate
3x−5(2x+1)
Expand the expression
More Steps

Calculate
−5(2x+1)
Apply the distributive property
−5×2x−5×1
Multiply the numbers
−10x−5×1
Any expression multiplied by 1 remains the same
−10x−5
3x−10x−5
Subtract the terms
More Steps

Evaluate
3x−10x
Collect like terms by calculating the sum or difference of their coefficients
(3−10)x
Subtract the numbers
−7x
−7x−5
−7x−5=3(3−2x)
Multiply
More Steps

Evaluate
3(3−2x)
Apply the distributive property
3×3−3×2x
Multiply the numbers
9−3×2x
Multiply the numbers
9−6x
−7x−5=9−6x
Move the variable to the left side
−x−5=9
Move the constant to the right side
−x=14
Solution
x=−14
Show Solution
