Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=110
Evaluate
3(x+10)=4(x−20)
Calculate
More Steps
Evaluate
3(x+10)
Apply the distributive property
3x+3×10
Multiply the numbers
3x+30
3x+30=4(x−20)
Calculate
More Steps
Evaluate
4(x−20)
Apply the distributive property
4x−4×20
Multiply the numbers
4x−80
3x+30=4x−80
Move the expression to the left side
3x+30−(4x−80)=0
Calculate the sum or difference
More Steps
Add the terms
3x+30−(4x−80)
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+30−4x+80
Subtract the terms
More Steps
Evaluate
3x−4x
Collect like terms by calculating the sum or difference of their coefficients
(3−4)x
Subtract the numbers
−x
−x+30+80
Add the numbers
−x+110
−x+110=0
Move the constant to the right-hand side and change its sign
−x=0−110
Removing 0 doesn't change the value,so remove it from the expression
−x=−110
Solution
x=110
Show Solution
Rewrite the equation
x=110
Evaluate
3(x+10)=4(x−20)
Multiply
More Steps
Evaluate
3(x+10)
Apply the distributive property
3x+3×10
Multiply the numbers
3x+30
3x+30=4(x−20)
Multiply
More Steps
Evaluate
4(x−20)
Apply the distributive property
4x−4×20
Multiply the numbers
4x−80
3x+30=4x−80
Move the variable to the left side
−x+30=−80
Move the constant to the right side
−x=−110
Solution
x=110
Show Solution
Graph
