Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=5
Evaluate
5−4(x−3)=x−2(x−1)
Move the expression to the left side
5−4(x−3)−(x−2(x−1))=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
5−4(x−3)−x+2(x−1)=0
Calculate the sum or difference
More Steps
Evaluate
5−4(x−3)−x+2(x−1)
Expand the expression
More Steps
Calculate
−4(x−3)
Apply the distributive property
−4x−(−4×3)
Multiply the numbers
−4x−(−12)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−4x+12
5−4x+12−x+2(x−1)
Expand the expression
More Steps
Calculate
2(x−1)
Apply the distributive property
2x−2×1
Any expression multiplied by 1 remains the same
2x−2
5−4x+12−x+2x−2
Calculate the sum or difference
15−4x−x+2x
Calculate the sum or difference
More Steps
Evaluate
−4x−x+2x
Collect like terms by calculating the sum or difference of their coefficients
(−4−1+2)x
Calculate the sum or difference
−3x
15−3x
15−3x=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=315
Divide the numbers
x=315
Solution
More Steps
Evaluate
315
Reduce the numbers
15
Calculate
5
x=5
Show Solution
Rewrite the equation
x=5
Evaluate
5−4(x−3)=x−2(x−1)
Evaluate
More Steps
Evaluate
5−4(x−3)
Expand the expression
More Steps
Calculate
−4(x−3)
Apply the distributive property
−4x−(−4×3)
Multiply the numbers
−4x−(−12)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−4x+12
5−4x+12
Add the numbers
17−4x
17−4x=x−2(x−1)
Evaluate
More Steps
Evaluate
x−2(x−1)
Expand the expression
More Steps
Calculate
−2(x−1)
Apply the distributive property
−2x−(−2×1)
Any expression multiplied by 1 remains the same
−2x−(−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2x+2
x−2x+2
Subtract the terms
More Steps
Evaluate
x−2x
Collect like terms by calculating the sum or difference of their coefficients
(1−2)x
Subtract the numbers
−x
−x+2
17−4x=−x+2
Move the variable to the left side
17−3x=2
Move the constant to the right side
−3x=−15
Multiply both sides
3x=15
Solution
x=5
Show Solution
Graph
