Question
Solve the equation
x=23
Alternative Form
x=1.5
Evaluate
7−3(2−x)=5x−2
Move the expression to the left side
7−3(2−x)−(5x−2)=0
Subtract the terms
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Evaluate
7−3(2−x)−(5x−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
7−3(2−x)−5x+2
Add the numbers
9−3(2−x)−5x
9−3(2−x)−5x=0
Calculate
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Evaluate
9−3(2−x)−5x
Expand the expression
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Calculate
−3(2−x)
Apply the distributive property
−3×2−(−3x)
Multiply the numbers
−6−(−3x)
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+3x
9−6+3x−5x
Subtract the numbers
3+3x−5x
Subtract the terms
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Evaluate
3x−5x
Collect like terms by calculating the sum or difference of their coefficients
(3−5)x
Subtract the numbers
−2x
3−2x
3−2x=0
Move the constant to the right-hand side and change its sign
−2x=0−3
Removing 0 doesn't change the value,so remove it from the expression
−2x=−3
Change the signs on both sides of the equation
2x=3
Divide both sides
22x=23
Solution
x=23
Alternative Form
x=1.5
Show Solution

Rewrite the equation
2x=3
Evaluate
7−3(2−x)=5x−2
Evaluate
More Steps

Evaluate
7−3(2−x)
Expand the expression
More Steps

Calculate
−3(2−x)
Apply the distributive property
−3×2−(−3x)
Multiply the numbers
−6−(−3x)
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+3x
7−6+3x
Subtract the numbers
1+3x
1+3x=5x−2
Move the variable to the left side
1−2x=−2
Move the constant to the right side
−2x=−3
Solution
2x=3
Show Solution
