# Solve for x (x+1)/6-(x+3)/4=-1 x+16-x+34=-1
Factor the equation.
To write x+16 as a fraction with a common denominator, multiply by 22.
x+16⋅22-x+34=-1
To write -x+34 as a fraction with a common denominator, multiply by 33.
x+16⋅22-x+34⋅33=-1
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply x+16 and 22.
(x+1)⋅26⋅2-x+34⋅33=-1
Multiply 6 by 2.
(x+1)⋅212-x+34⋅33=-1
Multiply x+34 and 33.
(x+1)⋅212-(x+3)⋅34⋅3=-1
Multiply 4 by 3.
(x+1)⋅212-(x+3)⋅312=-1
(x+1)⋅212-(x+3)⋅312=-1
Combine the numerators over the common denominator.
(x+1)⋅2-(x+3)⋅312=-1
Rewrite (x+1)⋅2-(x+3)⋅312 in a factored form.
Apply the distributive property.
x⋅2+1⋅2-(x+3)⋅312=-1
Move 2 to the left of x.
2⋅x+1⋅2-(x+3)⋅312=-1
Multiply 2 by 1.
2x+2-(x+3)⋅312=-1
Apply the distributive property.
2x+2+(-x-1⋅3)⋅312=-1
Multiply -1 by 3.
2x+2+(-x-3)⋅312=-1
Apply the distributive property.
2x+2-x⋅3-3⋅312=-1
Multiply 3 by -1.
2x+2-3x-3⋅312=-1
Multiply -3 by 3.
2x+2-3x-912=-1
Subtract 3x from 2x.
-x+2-912=-1
Subtract 9 from 2.
-x-712=-1
-x-712=-1
-x-712=-1
Solve the equation.
Multiply both sides of the equation by 12.
-x-7=-1⋅12
Remove parentheses.
-x-7=-1⋅12
Multiply -1 by 12.
-x-7=-12
Move all terms not containing x to the right side of the equation.
Add 7 to both sides of the equation.
-x=-12+7
Add -12 and 7.
-x=-5
-x=-5
Multiply each term in -x=-5 by -1
Multiply each term in -x=-5 by -1.
(-x)⋅-1=(-5)⋅-1
Multiply (-x)⋅-1.
Multiply -1 by -1.
1x=(-5)⋅-1
Multiply x by 1.
x=(-5)⋅-1
x=(-5)⋅-1
Multiply -5 by -1.
x=5
x=5
x=5
Solve for x (x+1)/6-(x+3)/4=-1

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