Solve 2x-1/4+3x+4/8=1-4x/12

$$\frac { 2 x - 1 } { 4 } + \frac { 3 x + 4 } { 8 } = \frac { 1 - 4 x } { 12 }$$

Solve for x

$$x=-\frac{4}{29}\approx -0.137931034$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 4,8,12.

$$6\left(2x-1\right)+3\left(3x+4\right)=2\left(1-4x\right)$$

Use the distributive property to multiply 6 by 2x-1.

$$12x-6+3\left(3x+4\right)=2\left(1-4x\right)$$

Use the distributive property to multiply 3 by 3x+4.

$$12x-6+9x+12=2\left(1-4x\right)$$

Combine 12x and 9x to get 21x.

$$21x-6+12=2\left(1-4x\right)$$

Add -6 and 12 to get 6.

$$21x+6=2\left(1-4x\right)$$

Use the distributive property to multiply 2 by 1-4x.

$$21x+6=2-8x$$

Add 8x to both sides.

$$21x+6+8x=2$$

Combine 21x and 8x to get 29x.

$$29x+6=2$$

Subtract 6 from both sides.

$$29x=2-6$$

Subtract 6 from 2 to get -4.

$$29x=-4$$

Divide both sides by 29.

$$x=\frac{-4}{29}$$

Fraction \frac{-4}{29} can be rewritten as -\frac{4}{29} by extracting the negative sign.

$$x=-\frac{4}{29}$$