Solve x+3(x-1)=6-11(2x+3)

$$x + 3 ( x - 1 ) = 6 - 11 ( 2 x + 3 )$$

Solve for x

$$x=-\frac{12}{13}\approx -0.923076923$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-1.

$$x+3x-3=6-11\left(2x+3\right)$$

Combine x and 3x to get 4x.

$$4x-3=6-11\left(2x+3\right)$$

Use the distributive property to multiply -11 by 2x+3.

$$4x-3=6-22x-33$$

Subtract 33 from 6 to get -27.

$$4x-3=-27-22x$$

Add 22x to both sides.

$$4x-3+22x=-27$$

Combine 4x and 22x to get 26x.

$$26x-3=-27$$

Add 3 to both sides.

$$26x=-27+3$$

Add -27 and 3 to get -24.

$$26x=-24$$

Divide both sides by 26.

$$x=\frac{-24}{26}$$

Reduce the fraction \frac{-24}{26} to lowest terms by extracting and canceling out 2.

$$x=-\frac{12}{13}$$