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Question

x-40=\frac{3}{4}x
Solve the equation
x=160
Evaluate
x-40=\frac{3}{4}x
Move the variable to the left side
x-40-\frac{3}{4}x=0
Subtract the terms
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Evaluate
x-\frac{3}{4}x
Collect like terms by calculating the sum or difference of their coefficients
\left(1-\frac{3}{4}\right)x
Subtract the numbers
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Evaluate
1-\frac{3}{4}
Reduce fractions to a common denominator
\frac{4}{4}-\frac{3}{4}
Write all numerators above the common denominator
\frac{4-3}{4}
Subtract the numbers
\frac{1}{4}
\frac{1}{4}x
\frac{1}{4}x-40=0
Move the constant to the right side
\frac{1}{4}x=0+40
Removing 0 doesn't change the value,so remove it from the expression
\frac{1}{4}x=40
Multiply by the reciprocal
\frac{1}{4}x\times 4=40\times 4
Multiply
x=40\times 4
Solution
x=160
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Rewrite the equation
x=160
Evaluate
x-40=\frac{3}{4}x
Multiply both sides of the equation by LCD
4x-160=3x
Move the variable to the left side
x-160=0
Solution
x=160
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