Question
Solve the equation
x=29
Alternative Form
x=4.5
Evaluate
640−3160x=320+3160(x−3)
Simplify
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Evaluate
320+3160(x−3)
Multiply the terms
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Evaluate
3160(x−3)
Apply the distributive property
3160x−3160×3
Multiply the numbers
3160x−160
320+3160x−160
Subtract the numbers
160+3160x
640−3160x=160+3160x
Multiply both sides of the equation by LCM
(640−3160x)×3=(160+3160x)×3
Calculate
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Evaluate
(640−3160x)×3
Apply the distributive property
640×3−3160x×3
Multiply the numbers
1920−3160x×3
Multiply the numbers
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Evaluate
−3160×3
Reduce the numbers
−160×1
Simplify
−160
1920−160x
1920−160x=(160+3160x)×3
Calculate
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Evaluate
(160+3160x)×3
Apply the distributive property
160×3+3160x×3
Multiply the numbers
480+3160x×3
Multiply the numbers
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Evaluate
3160×3
Reduce the numbers
160×1
Simplify
160
480+160x
1920−160x=480+160x
Move the expression to the left side
1920−160x−160x=480
Move the expression to the right side
−160x−160x=480−1920
Add and subtract
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Evaluate
−160x−160x
Collect like terms by calculating the sum or difference of their coefficients
(−160−160)x
Subtract the numbers
−320x
−320x=480−1920
Add and subtract
−320x=−1440
Change the signs on both sides of the equation
320x=1440
Divide both sides
320320x=3201440
Divide the numbers
x=3201440
Solution
x=29
Alternative Form
x=4.5
Show Solution

Rewrite the equation
2x=9
Evaluate
640−3160x=320+3160(x−3)
Evaluate
More Steps

Evaluate
320+3160(x−3)
Multiply the terms
More Steps

Evaluate
3160(x−3)
Apply the distributive property
3160x−3160×3
Multiply the numbers
3160x−160
320+3160x−160
Subtract the numbers
160+3160x
640−3160x=160+3160x
Multiply both sides of the equation by LCD
1920−160x=480+160x
Move the variable to the left side
1920−320x=480
Move the constant to the right side
−320x=−1440
Multiply both sides
320x=1440
Solution
2x=9
Show Solution
