Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=−1
Evaluate
5(2x−3)−3(3x−7)=5
Move the expression to the left side
5(2x−3)−3(3x−7)−5=0
Calculate
More Steps
Evaluate
5(2x−3)−3(3x−7)−5
Expand the expression
More Steps
Calculate
5(2x−3)
Apply the distributive property
5×2x−5×3
Multiply the numbers
10x−5×3
Multiply the numbers
10x−15
10x−15−3(3x−7)−5
Expand the expression
More Steps
Calculate
−3(3x−7)
Apply the distributive property
−3×3x−(−3×7)
Multiply the numbers
−9x−(−3×7)
Multiply the numbers
−9x−(−21)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−9x+21
10x−15−9x+21−5
Subtract the terms
More Steps
Evaluate
10x−9x
Collect like terms by calculating the sum or difference of their coefficients
(10−9)x
Subtract the numbers
x
x−15+21−5
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
5(2x−3)−3(3x−7)=5
Evaluate
More Steps
Evaluate
5(2x−3)−3(3x−7)
Expand the expression
More Steps
Calculate
5(2x−3)
Apply the distributive property
5×2x−5×3
Multiply the numbers
10x−5×3
Multiply the numbers
10x−15
10x−15−3(3x−7)
Expand the expression
More Steps
Calculate
−3(3x−7)
Apply the distributive property
−3×3x−(−3×7)
Multiply the numbers
−9x−(−3×7)
Multiply the numbers
−9x−(−21)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−9x+21
10x−15−9x+21
Subtract the terms
More Steps
Evaluate
10x−9x
Collect like terms by calculating the sum or difference of their coefficients
(10−9)x
Subtract the numbers
x
x−15+21
Add the numbers
x+6
x+6=5
Solution
x=−1
Show Solution
Graph
