Solve x/28+2x-14/35+12/60=2x-14/28+frac{x}{35}

$$\frac{ x }{ 28 } + \frac{ 2x-14 }{ 35 } + \frac{ 12 }{ 60 } = \frac{ 2x-14 }{ 28 } + \frac{ x }{ 35 }$$

Solve for x

$$x=42$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 420, the least common multiple of 28,35,60.

$$15x+12\left(2x-14\right)+7\times 12=15\left(2x-14\right)+12x$$

Use the distributive property to multiply 12 by 2x-14.

$$15x+24x-168+7\times 12=15\left(2x-14\right)+12x$$

Combine 15x and 24x to get 39x.

$$39x-168+7\times 12=15\left(2x-14\right)+12x$$

Multiply 7 and 12 to get 84.

$$39x-168+84=15\left(2x-14\right)+12x$$

Add -168 and 84 to get -84.

$$39x-84=15\left(2x-14\right)+12x$$

Use the distributive property to multiply 15 by 2x-14.

$$39x-84=30x-210+12x$$

Combine 30x and 12x to get 42x.

$$39x-84=42x-210$$

Subtract 42x from both sides.

$$39x-84-42x=-210$$

Combine 39x and -42x to get -3x.

$$-3x-84=-210$$

Add 84 to both sides.

$$-3x=-210+84$$

Add -210 and 84 to get -126.

$$-3x=-126$$

Divide both sides by -3.

$$x=\frac{-126}{-3}$$

Divide -126 by -3 to get 42.

$$x=42$$