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Question
3\left(4-2x\right)+6=-2x+4
Solve the equation
x=\frac{7}{2}
Alternative Form
x=3.5
Evaluate
3\left(4-2x\right)+6=-2x+4
Move the expression to the left side
3\left(4-2x\right)+6-\left(-2x+4\right)=0
Calculate the sum or difference
More Steps
Evaluate
3\left(4-2x\right)+6-\left(-2x+4\right)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
3\left(4-2x\right)+6+2x-4
Subtract the numbers
3\left(4-2x\right)+2+2x
3\left(4-2x\right)+2+2x=0
Calculate
More Steps
Evaluate
3\left(4-2x\right)+2+2x
Expand the expression
More Steps
Calculate
3\left(4-2x\right)
Apply the distributive property
3\times 4-3\times 2x
Multiply the numbers
12-3\times 2x
Multiply the numbers
12-6x
12-6x+2+2x
Add the numbers
14-6x+2x
Add the terms
More Steps
Evaluate
-6x+2x
Collect like terms by calculating the sum or difference of their coefficients
\left(-6+2\right)x
Add the numbers
-4x
14-4x
14-4x=0
Move the constant to the right-hand side and change its sign
-4x=0-14
Removing 0 doesn't change the value,so remove it from the expression
-4x=-14
Change the signs on both sides of the equation
4x=14
Divide both sides
\frac{4x}{4}=\frac{14}{4}
Divide the numbers
x=\frac{14}{4}
Solution
x=\frac{7}{2}
Alternative Form
x=3.5
Show Solutions
Rewrite the equation
2x=7
Evaluate
3\left(4-2x\right)+6=-2x+4
Evaluate
More Steps
Evaluate
3\left(4-2x\right)+6
Expand the expression
More Steps
Calculate
3\left(4-2x\right)
Apply the distributive property
3\times 4-3\times 2x
Multiply the numbers
12-3\times 2x
Multiply the numbers
12-6x
12-6x+6
Add the numbers
18-6x
18-6x=-2x+4
Move the variable to the left side
18-4x=4
Move the constant to the right side
-4x=-14
Multiply both sides
4x=14
Solution
2x=7
Show Solutions
Graph
