Solve 1-x+3*(x-4)=10x+2

$$1 - x + 3 \cdot ( x - 4 ) = 10 x + 2$$

Solve for x

$$x = -\frac{13}{8} = -1\frac{5}{8} = -1.625$$

Steps for Solving Linear Equation

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

$$1-x+3x-12=10x+2$$

Combine -x and 3x to get 2x.

$$1+2x-12=10x+2$$

Subtract 12 from 1 to get -11.

$$-11+2x=10x+2$$

Subtract 10x from both sides.

$$-11+2x-10x=2$$

Combine 2x and -10x to get -8x.

$$-11-8x=2$$

Add 11 to both sides.

$$-8x=2+11$$

Add 2 and 11 to get 13.

$$-8x=13$$

Divide both sides by -8.

$$x=\frac{13}{-8}$$

Fraction \frac{13}{-8} can be rewritten as -\frac{13}{8} by extracting the negative sign.

$$x=-\frac{13}{8}$$