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Question
\frac{x-1}{2}=\frac{x+3}{4}
Solve the equation
x=5
Evaluate
\frac{x-1}{2}=\frac{x+3}{4}
Cross multiply
\left(x-1\right)\times 4=2\left(x+3\right)
Simplify the equation
4\left(x-1\right)=2\left(x+3\right)
Rewrite the expression
2\times 2\left(x-1\right)=2\left(x+3\right)
Evaluate
2\left(x-1\right)=x+3
Expand the expression
More Steps
Evaluate
2\left(x-1\right)
Apply the distributive property
2x-2\times 1
Any expression multiplied by 1 remains the same
2x-2
2x-2=x+3
Move the expression to the left side
2x-2-x=3
Move the expression to the right side
2x-x=3+2
Add and subtract
More Steps
Evaluate
2x-x
Collect like terms by calculating the sum or difference of their coefficients
\left(2-1\right)x
Subtract the numbers
x
x=3+2
Solution
x=5
Show Solutions
Rewrite the equation
x=5
Evaluate
\frac{x-1}{2}=\frac{x+3}{4}
Reduce the fraction
\frac{1}{2}x-\frac{1}{2}=\frac{x+3}{4}
Reduce the fraction
\frac{1}{2}x-\frac{1}{2}=\frac{1}{4}x+\frac{3}{4}
Multiply both sides of the equation by LCD
2x-2=x+3
Move the variable to the left side
x-2=3
Solution
x=5
Show Solutions
Graph
