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

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

Solve for x

$$x=\frac{3}{4}=0.75$$

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.

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

Subtract 6x from both sides.

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

Combine 2x and -6x to get -4x.

$$-4x+6=3$$

Subtract 6 from both sides.

$$-4x=3-6$$

Subtract 6 from 3 to get -3.

$$-4x=-3$$

Divide both sides by -4.

$$x=\frac{-3}{-4}$$

Fraction \frac{-3}{-4} can be simplified to \frac{3}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{4}$$