Question
Solve the equation
x=−1711
Alternative Form
x≈−0.647059
Evaluate
3(x−1)−8=4(1×x)×5
Remove the parentheses
3(x−1)−8=4×1×x×5
Multiply the terms
More Steps

Evaluate
4×1×x×5
Rewrite the expression
4x×5
Multiply the terms
20x
3(x−1)−8=20x
Move the expression to the left side
3(x−1)−8−20x=0
Calculate
More Steps

Evaluate
3(x−1)−8−20x
Expand the expression
More Steps

Calculate
3(x−1)
Apply the distributive property
3x−3×1
Any expression multiplied by 1 remains the same
3x−3
3x−3−8−20x
Subtract the terms
More Steps

Evaluate
3x−20x
Collect like terms by calculating the sum or difference of their coefficients
(3−20)x
Subtract the numbers
−17x
−17x−3−8
Subtract the numbers
−17x−11
−17x−11=0
Move the constant to the right-hand side and change its sign
−17x=0+11
Removing 0 doesn't change the value,so remove it from the expression
−17x=11
Change the signs on both sides of the equation
17x=−11
Divide both sides
1717x=17−11
Divide the numbers
x=17−11
Solution
x=−1711
Alternative Form
x≈−0.647059
Show Solution

Rewrite the equation
17x=−11
Evaluate
3(x−1)−8=4(1×x)×5
Evaluate
More Steps

Evaluate
3(x−1)−8
Expand the expression
More Steps

Calculate
3(x−1)
Apply the distributive property
3x−3×1
Any expression multiplied by 1 remains the same
3x−3
3x−3−8
Subtract the numbers
3x−11
3x−11=4(1×x)×5
Evaluate
More Steps

Evaluate
4(1×x)×5
Remove the parentheses
4×1×x×5
Rewrite the expression
4x×5
Multiply the terms
20x
3x−11=20x
Move the variable to the left side
−17x−11=0
Move the constant to the right side
−17x=11
Solution
17x=−11
Show Solution
