Question
Solve the equation
Solve for x
x∈∅
Alternative Form
No solution
Evaluate
3x−13=7(x+2)−4(x−7)
Move the expression to the left side
3x−13−(7(x+2)−4(x−7))=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
3x−13−7(x+2)+4(x−7)=0
Calculate the sum or difference
More Steps
Evaluate
3x−13−7(x+2)+4(x−7)
Expand the expression
More Steps
Calculate
−7(x+2)
Apply the distributive property
−7x−7×2
Multiply the numbers
−7x−14
3x−13−7x−14+4(x−7)
Expand the expression
More Steps
Calculate
4(x−7)
Apply the distributive property
4x−4×7
Multiply the numbers
4x−28
3x−13−7x−14+4x−28
Calculate the sum or difference
More Steps
Evaluate
3x−7x+4x
Collect like terms by calculating the sum or difference of their coefficients
(3−7+4)x
Calculate the sum or difference
0×x
Any expression multiplied by 0 equals 0
0
0−13−14−28
Removing 0 doesn't change the value,so remove it from the expression
−13−14−28
Subtract the numbers
−55
−55=0
Solution
x∈∅
Alternative Form
No solution
Show Solution