x-188=x-912+524

Multiply both sides of the equation by 8.

x-18=(x-912+524)⋅(8)

Remove parentheses.

x-18=(x-912+524)⋅(8)

To write x-912 as a fraction with a common denominator, multiply by 22.

x-18=(x-912⋅22+524)⋅8

Write each expression with a common denominator of 24, by multiplying each by an appropriate factor of 1.

Multiply x-912 and 22.

x-18=((x-9)⋅212⋅2+524)⋅8

Multiply 12 by 2.

x-18=((x-9)⋅224+524)⋅8

x-18=((x-9)⋅224+524)⋅8

Combine the numerators over the common denominator.

x-18=(x-9)⋅2+524⋅8

Simplify the numerator.

Apply the distributive property.

x-18=x⋅2-9⋅2+524⋅8

Move 2 to the left of x.

x-18=2⋅x-9⋅2+524⋅8

Multiply -9 by 2.

x-18=2⋅x-18+524⋅8

Add -18 and 5.

x-18=2x-1324⋅8

x-18=2x-1324⋅8

Cancel the common factor of 8.

Factor 8 out of 24.

x-18=2x-138(3)⋅8

Cancel the common factor.

x-18=2x-138⋅3⋅8

Rewrite the expression.

x-18=2x-133

x-18=2x-133

x-18=2x-133

Subtract 2x-133 from both sides of the equation.

x-18-2x-133=0

To write x as a fraction with a common denominator, multiply by 33.

x⋅33-2x-133-18=0

Combine x and 33.

x⋅33-2x-133-18=0

Combine the numerators over the common denominator.

x⋅3-(2x-13)3-18=0

Simplify the numerator.

Move 3 to the left of x.

3⋅x-(2x-13)3-18=0

Apply the distributive property.

3x-(2x)–133-18=0

Multiply 2 by -1.

3x-2x–133-18=0

Multiply -1 by -13.

3x-2x+133-18=0

Subtract 2x from 3x.

x+133-18=0

x+133-18=0

To write -18 as a fraction with a common denominator, multiply by 33.

x+133-18⋅33=0

Combine -18 and 33.

x+133+-18⋅33=0

Combine the numerators over the common denominator.

x+13-18⋅33=0

Simplify the numerator.

Multiply -18 by 3.

x+13-543=0

Subtract 54 from 13.

x-413=0

x-413=0

x-413=0

Multiply both sides of the equation by 3.

3⋅x-413=3⋅0

Cancel the common factor of 3.

Cancel the common factor.

3⋅x-413=3⋅0

Rewrite the expression.

x-41=3⋅0

x-41=3⋅0

Multiply 3 by 0.

x-41=0

x-41=0

Add 41 to both sides of the equation.

x=41

Solve for x (x-18)/8=(x-9)/12+5/24