Solve 3-24x/10-1-2x/2=-1/10(3x-4)

$$\frac { 3 - 24 x } { 10 } - \frac { 1 - 2 x } { 2 } = - \frac { 1 } { 10 } ( 3 x - 4 )$$

Solve for x

$$x=-\frac{6}{11}\approx -0.545454545$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 10,2.

$$3-24x-5\left(1-2x\right)=-\left(3x-4\right)$$

Use the distributive property to multiply -5 by 1-2x.

$$3-24x-5+10x=-\left(3x-4\right)$$

Subtract 5 from 3 to get -2.

$$-2-24x+10x=-\left(3x-4\right)$$

Combine -24x and 10x to get -14x.

$$-2-14x=-\left(3x-4\right)$$

To find the opposite of 3x-4, find the opposite of each term.

$$-2-14x=-3x-\left(-4\right)$$

The opposite of -4 is 4.

$$-2-14x=-3x+4$$

Add 3x to both sides.

$$-2-14x+3x=4$$

Combine -14x and 3x to get -11x.

$$-2-11x=4$$

Add 2 to both sides.

$$-11x=4+2$$

Add 4 and 2 to get 6.

$$-11x=6$$

Divide both sides by -11.

$$x=\frac{6}{-11}$$

Fraction \frac{6}{-11} can be rewritten as -\frac{6}{11} by extracting the negative sign.

$$x=-\frac{6}{11}$$