# Solve for x (x-7)/5+7/5=-x/2

x-75+75=-x2
Move x2 to the left side of the equation by adding it to both sides.
x-75+75+x2=0
Simplify x-75+75+x2.
Combine fractions with similar denominators.
x-7+75+x2=0
x+05+x2=0
x5+x2=0
x5+x2=0
To write x5 as a fraction with a common denominator, multiply by 22.
x5⋅22+x2=0
To write x2 as a fraction with a common denominator, multiply by 55.
x5⋅22+x2⋅55=0
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Multiply x5 and 22.
x⋅25⋅2+x2⋅55=0
Multiply 5 by 2.
x⋅210+x2⋅55=0
Multiply x2 and 55.
x⋅210+x⋅52⋅5=0
Multiply 2 by 5.
x⋅210+x⋅510=0
x⋅210+x⋅510=0
Combine the numerators over the common denominator.
x⋅2+x⋅510=0
Simplify the numerator.
Move 2 to the left of x.
2⋅x+x⋅510=0
Move 5 to the left of x.
2x+5⋅x10=0
7×10=0
7×10=0
7×10=0
Since this is the only denominator in the list, the result is the LCD: 10.
10
Multiply each term by 10 and simplify.
Multiply each term in 7×10=0 by 10.
7×10⋅10=0⋅10
Cancel the common factor of 10.
Cancel the common factor.
7×10⋅10=0⋅10
Rewrite the expression.
7x=0⋅10
7x=0⋅10
Multiply 0 by 10.
7x=0
7x=0
Divide each term by 7 and simplify.
Divide each term in 7x=0 by 7.
7×7=07
Cancel the common factor of 7.
Cancel the common factor.
7×7=07
Divide x by 1.
x=07
x=07
Divide 0 by 7.
x=0
x=0
Solve for x (x-7)/5+7/5=-x/2