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Question
-6\left(-3x-1\right)+2=8x+7
Solve the equation
x=-\frac{1}{10}
Alternative Form
x=-0.1
Evaluate
-6\left(-3x-1\right)+2=8x+7
Move the expression to the left side
-6\left(-3x-1\right)+2-\left(8x+7\right)=0
Calculate the sum or difference
More Steps
Evaluate
-6\left(-3x-1\right)+2-\left(8x+7\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
-6\left(-3x-1\right)+2-8x-7
Subtract the numbers
-6\left(-3x-1\right)-5-8x
-6\left(-3x-1\right)-5-8x=0
Calculate
More Steps
Evaluate
-6\left(-3x-1\right)-5-8x
Expand the expression
More Steps
Calculate
-6\left(-3x-1\right)
Apply the distributive property
-6\left(-3x\right)-\left(-6\times 1\right)
Multiply the numbers
18x-\left(-6\times 1\right)
Any expression multiplied by 1 remains the same
18x-\left(-6\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
18x+6
18x+6-5-8x
Subtract the terms
More Steps
Evaluate
18x-8x
Collect like terms by calculating the sum or difference of their coefficients
\left(18-8\right)x
Subtract the numbers
10x
10x+6-5
Subtract the numbers
10x+1
10x+1=0
Move the constant to the right-hand side and change its sign
10x=0-1
Removing 0 doesn't change the value,so remove it from the expression
10x=-1
Divide both sides
\frac{10x}{10}=\frac{-1}{10}
Divide the numbers
x=\frac{-1}{10}
Solution
x=-\frac{1}{10}
Alternative Form
x=-0.1
Show Solutions
Rewrite the equation
10x=-1
Evaluate
-6\left(-3x-1\right)+2=8x+7
Evaluate
More Steps
Evaluate
-6\left(-3x-1\right)+2
Expand the expression
More Steps
Calculate
-6\left(-3x-1\right)
Apply the distributive property
-6\left(-3x\right)-\left(-6\times 1\right)
Multiply the numbers
18x-\left(-6\times 1\right)
Any expression multiplied by 1 remains the same
18x-\left(-6\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
18x+6
18x+6+2
Add the numbers
18x+8
18x+8=8x+7
Move the variable to the left side
10x+8=7
Solution
10x=-1
Show Solutions
Graph
