Question
Solve the equation
x=523
Alternative Form
x=4.6
Evaluate
8(x−1)−2(4−x)=30
Move the expression to the left side
8(x−1)−2(4−x)−30=0
Calculate
More Steps

Evaluate
8(x−1)−2(4−x)−30
Expand the expression
More Steps

Calculate
8(x−1)
Apply the distributive property
8x−8×1
Any expression multiplied by 1 remains the same
8x−8
8x−8−2(4−x)−30
Expand the expression
More Steps

Calculate
−2(4−x)
Apply the distributive property
−2×4−(−2x)
Multiply the numbers
−8−(−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
−8+2x
8x−8−8+2x−30
Add the terms
More Steps

Evaluate
8x+2x
Collect like terms by calculating the sum or difference of their coefficients
(8+2)x
Add the numbers
10x
10x−8−8−30
Subtract the numbers
10x−46
10x−46=0
Move the constant to the right-hand side and change its sign
10x=0+46
Removing 0 doesn't change the value,so remove it from the expression
10x=46
Divide both sides
1010x=1046
Divide the numbers
x=1046
Solution
x=523
Alternative Form
x=4.6
Show Solution

Rewrite the equation
5x=23
Evaluate
8(x−1)−2(4−x)=30
Evaluate
More Steps

Evaluate
8(x−1)−2(4−x)
Expand the expression
More Steps

Calculate
8(x−1)
Apply the distributive property
8x−8×1
Any expression multiplied by 1 remains the same
8x−8
8x−8−2(4−x)
Expand the expression
More Steps

Calculate
−2(4−x)
Apply the distributive property
−2×4−(−2x)
Multiply the numbers
−8−(−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
−8+2x
8x−8−8+2x
Add the terms
More Steps

Evaluate
8x+2x
Collect like terms by calculating the sum or difference of their coefficients
(8+2)x
Add the numbers
10x
10x−8−8
Subtract the numbers
10x−16
10x−16=30
Move the constant to the right side
10x=46
Solution
5x=23
Show Solution
