Question
Solve the equation
x=−411
Alternative Form
x=−2.75
Evaluate
x−(4−2x)=7(x+1)
Subtract the terms
More Steps

Evaluate
x−(4−2x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x−4+2x
Add the terms
More Steps

Evaluate
x+2x
Collect like terms by calculating the sum or difference of their coefficients
(1+2)x
Add the numbers
3x
3x−4
3x−4=7(x+1)
Expand the expression
More Steps

Evaluate
7(x+1)
Apply the distributive property
7x+7×1
Any expression multiplied by 1 remains the same
7x+7
3x−4=7x+7
Move the expression to the left side
3x−4−7x=7
Move the expression to the right side
3x−7x=7+4
Add and subtract
More Steps

Evaluate
3x−7x
Collect like terms by calculating the sum or difference of their coefficients
(3−7)x
Subtract the numbers
−4x
−4x=7+4
Add and subtract
−4x=11
Change the signs on both sides of the equation
4x=−11
Divide both sides
44x=4−11
Divide the numbers
x=4−11
Solution
x=−411
Alternative Form
x=−2.75
Show Solution

Rewrite the equation
4x=−11
Evaluate
x−(4−2x)=7(x+1)
Evaluate
More Steps

Evaluate
x−(4−2x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x−4+2x
Add the terms
More Steps

Evaluate
x+2x
Collect like terms by calculating the sum or difference of their coefficients
(1+2)x
Add the numbers
3x
3x−4
3x−4=7(x+1)
Multiply
More Steps

Evaluate
7(x+1)
Apply the distributive property
7x+7×1
Any expression multiplied by 1 remains the same
7x+7
3x−4=7x+7
Move the variable to the left side
−4x−4=7
Move the constant to the right side
−4x=11
Solution
4x=−11
Show Solution
