Question
Solve the equation
x=3
Evaluate
54−3x−23x−5=−3
Multiply both sides of the equation by LCD
(54−3x−23x−5)×10=−3×10
Simplify the equation
More Steps

Evaluate
(54−3x−23x−5)×10
Apply the distributive property
54−3x×10−23x−5×10
Simplify
(4−3x)×2+(−3x+5)×5
Multiply the terms
More Steps

Evaluate
(4−3x)×2
Apply the distributive property
4×2−3x×2
Calculate
8−3x×2
Calculate
8−6x
8−6x+(−3x+5)×5
Multiply the terms
More Steps

Evaluate
(−3x+5)×5
Apply the distributive property
−3x×5+5×5
Calculate
−15x+5×5
Calculate
−15x+25
8−6x−15x+25
Add the numbers
33−6x−15x
Subtract the terms
More Steps

Evaluate
−6x−15x
Collect like terms by calculating the sum or difference of their coefficients
(−6−15)x
Subtract the numbers
−21x
33−21x
33−21x=−3×10
Simplify the equation
33−21x=−30
Move the constant to the right side
−21x=−30−33
Subtract the numbers
−21x=−63
Change the signs on both sides of the equation
21x=63
Divide both sides
2121x=2163
Divide the numbers
x=2163
Solution
More Steps

Evaluate
2163
Reduce the numbers
13
Calculate
3
x=3
Show Solution

Rewrite the equation
x=3
Evaluate
54−3x−23x−5=−3
Rewrite the expression
More Steps

Evaluate
54−3x−23x−5
Reduce the fraction
54−53x−23x−5
Reduce the fraction
More Steps

Evaluate
−23x−5
Use b−a=−ba=−ba to rewrite the fraction
2−3x+5
Reduce the fraction
−23x+25
54−53x−23x+25
54−53x−23x+25=−3
Multiply both sides of the equation by LCD
33−21x=−30
Move the constant to the right side
−21x=−63
Multiply both sides
21x=63
Solution
x=3
Show Solution
