Solve 312-(3x-6)-41-4(1-2x)=4-5x

$$312 - ( 3 x - 6 ) - 41 - 4 ( 1 - 2 x ) = 4 - 5 x$$

Solve for x

$$x = -\frac{269}{10} = -26\frac{9}{10} = -26.9$$

Steps for Solving Linear Equation

To find the opposite of 3x-6, find the opposite of each term.

$$312-3x-\left(-6\right)-41-4\left(1-2x\right)=4-5x$$

The opposite of -6 is 6.

$$312-3x+6-41-4\left(1-2x\right)=4-5x$$

Add 312 and 6 to get 318.

$$318-3x-41-4\left(1-2x\right)=4-5x$$

Subtract 41 from 318 to get 277.

$$277-3x-4\left(1-2x\right)=4-5x$$

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

$$277-3x-4+8x=4-5x$$

Subtract 4 from 277 to get 273.

$$273-3x+8x=4-5x$$

Combine -3x and 8x to get 5x.

$$273+5x=4-5x$$

Add 5x to both sides.

$$273+5x+5x=4$$

Combine 5x and 5x to get 10x.

$$273+10x=4$$

Subtract 273 from both sides.

$$10x=4-273$$

Subtract 273 from 4 to get -269.

$$10x=-269$$

Divide both sides by 10.

$$x=\frac{-269}{10}$$

Fraction \frac{-269}{10} can be rewritten as -\frac{269}{10} by extracting the negative sign.

$$x=-\frac{269}{10}$$