Solve 4x-6/10+2x=21-3(x+1)/12

$$\frac { 4 x - 6 } { 10 } + 2 x = 21 - \frac { 3 ( x + 1 ) } { 12 }$$

Solve for x

$$x = \frac{427}{53} = 8\frac{3}{53} \approx 8.056603774$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 10,12.

$$6\left(4x-6\right)+120x=1260-5\times 3\left(x+1\right)$$

Use the distributive property to multiply 6 by 4x-6.

$$24x-36+120x=1260-5\times 3\left(x+1\right)$$

Combine 24x and 120x to get 144x.

$$144x-36=1260-5\times 3\left(x+1\right)$$

Multiply -5 and 3 to get -15.

$$144x-36=1260-15\left(x+1\right)$$

Use the distributive property to multiply -15 by x+1.

$$144x-36=1260-15x-15$$

Subtract 15 from 1260 to get 1245.

$$144x-36=1245-15x$$

Add 15x to both sides.

$$144x-36+15x=1245$$

Combine 144x and 15x to get 159x.

$$159x-36=1245$$

Add 36 to both sides.

$$159x=1245+36$$

Add 1245 and 36 to get 1281.

$$159x=1281$$

Divide both sides by 159.

$$x=\frac{1281}{159}$$

Reduce the fraction \frac{1281}{159} to lowest terms by extracting and canceling out 3.

$$x=\frac{427}{53}$$