Solve 5x-3/6+5-7x-1/4=x+2/12

$$\frac { 5 x - 3 } { 6 } + 5 - \frac { 7 x - 1 } { 4 } = \frac { x + 2 } { 12 }$$

Solve for x

$$x = \frac{55}{12} = 4\frac{7}{12} \approx 4.583333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,4,12.

$$2\left(5x-3\right)+60-3\left(7x-1\right)=x+2$$

Use the distributive property to multiply 2 by 5x-3.

$$10x-6+60-3\left(7x-1\right)=x+2$$

Add -6 and 60 to get 54.

$$10x+54-3\left(7x-1\right)=x+2$$

Use the distributive property to multiply -3 by 7x-1.

$$10x+54-21x+3=x+2$$

Combine 10x and -21x to get -11x.

$$-11x+54+3=x+2$$

Add 54 and 3 to get 57.

$$-11x+57=x+2$$

Subtract x from both sides.

$$-11x+57-x=2$$

Combine -11x and -x to get -12x.

$$-12x+57=2$$

Subtract 57 from both sides.

$$-12x=2-57$$

Subtract 57 from 2 to get -55.

$$-12x=-55$$

Divide both sides by -12.

$$x=\frac{-55}{-12}$$

Fraction \frac{-55}{-12} can be simplified to \frac{55}{12} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{55}{12}$$