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

$$1 \times x+3 \times \left( x-4 \right) = 10x+2$$

Solve for x

$$x = -\frac{7}{3} = -2\frac{1}{3} \approx -2.333333333$$

Steps for Solving Linear Equation

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

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

Combine 1x and 3x to get 4x.

$$4x-12=10x+2$$

Subtract 10x from both sides.

$$4x-12-10x=2$$

Combine 4x and -10x to get -6x.

$$-6x-12=2$$

Add 12 to both sides.

$$-6x=2+12$$

Add 2 and 12 to get 14.

$$-6x=14$$

Divide both sides by -6.

$$x=\frac{14}{-6}$$

Reduce the fraction \frac{14}{-6} to lowest terms by extracting and canceling out 2.

$$x=-\frac{7}{3}$$