Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−3x−6
Evaluate
2(2x−3)−7x
Expand the expression
More Steps
Calculate
2(2x−3)
Apply the distributive property
2×2x−2×3
Multiply the numbers
4x−2×3
Multiply the numbers
4x−6
4x−6−7x
Solution
More Steps
Evaluate
4x−7x
Collect like terms by calculating the sum or difference of their coefficients
(4−7)x
Subtract the numbers
−3x
−3x−6
Show Solution
Factor the expression
−3(x+2)
Evaluate
2(2x−3)−7x
Simplify
More Steps
Evaluate
2(2x−3)
Apply the distributive property
2×2x+2(−3)
Multiply the terms
4x+2(−3)
Multiply the terms
More Steps
Evaluate
2(−3)
Multiplying or dividing an odd number of negative terms equals a negative
−2×3
Multiply the numbers
−6
4x−6
4x−6−7x
Subtract the terms
More Steps
Evaluate
4x−7x
Collect like terms by calculating the sum or difference of their coefficients
(4−7)x
Subtract the numbers
−3x
−3x−6
Solution
−3(x+2)
Show Solution
Find the roots
x=−2
Evaluate
2(2x−3)−7x
To find the roots of the expression,set the expression equal to 0
2(2x−3)−7x=0
Calculate
More Steps
Evaluate
2(2x−3)−7x
Expand the expression
More Steps
Calculate
2(2x−3)
Apply the distributive property
2×2x−2×3
Multiply the numbers
4x−2×3
Multiply the numbers
4x−6
4x−6−7x
Subtract the terms
More Steps
Evaluate
4x−7x
Collect like terms by calculating the sum or difference of their coefficients
(4−7)x
Subtract the numbers
−3x
−3x−6
−3x−6=0
Move the constant to the right-hand side and change its sign
−3x=0+6
Removing 0 doesn't change the value,so remove it from the expression
−3x=6
Change the signs on both sides of the equation
3x=−6
Divide both sides
33x=3−6
Divide the numbers
x=3−6
Solution
More Steps
Evaluate
3−6
Reduce the numbers
1−2
Calculate
−2
x=−2
Show Solution