Question
Solve the equation
x=−165
Alternative Form
x=−0.3125
Evaluate
14(x+50%)=75%
Simplify
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Evaluate
14(x+50%)
Calculate
More Steps

Evaluate
x+50%
By definition p%=p×0.01
x+50×0.01
Calculate
x+0.5
14(x+0.5)
Divide the terms
4(x+0.5)
Apply the distributive property
4x+4×0.5
Multiply the numbers
4x+2
4x+2=75%
Move the constant to the right-hand side and change its sign
4x=75%−2
Subtract the terms
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Evaluate
75%−2
By definition p%=p×0.01
75×0.01−2
Calculate
0.75−2
Subtract the numbers
−1.25
4x=−1.25
Divide both sides
44x=4−1.25
Divide the numbers
x=4−1.25
Solution
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Evaluate
4−1.25
Convert the decimal into a fraction
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Evaluate
1.25
Convert the decimal into a fraction
100125
Reduce the fraction
45
4−45
Multiply by the reciprocal
−45×41
To multiply the fractions,multiply the numerators and denominators separately
−4×45
Multiply the numbers
−165
x=−165
Alternative Form
x=−0.3125
Show Solution

Rewrite the equation
16x=−5
Evaluate
14(x+50%)=75%
Evaluate
More Steps

Evaluate
14(x+50%)
Calculate
More Steps

Evaluate
x+50%
By definition p%=p×0.01
x+50×0.01
Calculate
x+0.5
14(x+0.5)
Divide the terms
4(x+0.5)
Apply the distributive property
4x+4×0.5
Multiply the numbers
4x+2
4x+2=75%
Multiply both sides of the equation by LCD
16x+8=3
Solution
16x=−5
Show Solution
