Solve x+3/6=1-3+2x/4

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

Solve for x

$$x=-\frac{3}{8}=-0.375$$

Steps for Solving Linear Equation

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

$$2\left(x+3\right)=12-3\left(3+2x\right)$$

Use the distributive property to multiply 2 by x+3.

$$2x+6=12-3\left(3+2x\right)$$

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

$$2x+6=12-9-6x$$

Subtract 9 from 12 to get 3.

$$2x+6=3-6x$$

Add 6x to both sides.

$$2x+6+6x=3$$

Combine 2x and 6x to get 8x.

$$8x+6=3$$

Subtract 6 from both sides.

$$8x=3-6$$

Subtract 6 from 3 to get -3.

$$8x=-3$$

Divide both sides by 8.

$$x=\frac{-3}{8}$$

Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$x=-\frac{3}{8}$$