Question
Solve the equation
x=3
Evaluate
4(2−x)=5x−(2x−3−(1−x)×8)
Simplify
More Steps

Evaluate
5x−(2x−3−(1−x)×8)
Multiply the terms
5x−(2x−3+8(−1+x))
Calculate the sum or difference
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Evaluate
2x−3+8(−1+x)
Expand the expression
2x−3−8+8x
Add the terms
10x−3−8
Subtract the numbers
10x−11
5x−(10x−11)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
5x−10x+11
Subtract the terms
More Steps

Evaluate
5x−10x
Collect like terms by calculating the sum or difference of their coefficients
(5−10)x
Subtract the numbers
−5x
−5x+11
4(2−x)=−5x+11
Expand the expression
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Evaluate
4(2−x)
Apply the distributive property
4×2−4x
Multiply the numbers
8−4x
8−4x=−5x+11
Move the expression to the left side
8−4x+5x=11
Move the expression to the right side
−4x+5x=11−8
Add and subtract
More Steps

Evaluate
−4x+5x
Collect like terms by calculating the sum or difference of their coefficients
(−4+5)x
Add the numbers
x
x=11−8
Solution
x=3
Show Solution

Rewrite the equation
x=3
Evaluate
4(2−x)=5x−(2x−3−(1−x)×8)
Evaluate
More Steps

Evaluate
5x−(2x−3−(1−x)×8)
Multiply the terms
5x−(2x−3+8(−1+x))
Calculate the sum or difference
More Steps

Evaluate
2x−3+8(−1+x)
Expand the expression
2x−3−8+8x
Add the terms
10x−3−8
Subtract the numbers
10x−11
5x−(10x−11)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
5x−10x+11
Subtract the terms
More Steps

Evaluate
5x−10x
Collect like terms by calculating the sum or difference of their coefficients
(5−10)x
Subtract the numbers
−5x
−5x+11
4(2−x)=−5x+11
Multiply
More Steps

Evaluate
4(2−x)
Apply the distributive property
4×2−4x
Multiply the numbers
8−4x
8−4x=−5x+11
Move the variable to the left side
8+x=11
Solution
x=3
Show Solution
