Solve 2x+3(x-1)=4x-5(x+2)

$$2x+3(x-1)=4x-5(x+2)$$

Solve for x

$$x = -\frac{7}{6} = -1\frac{1}{6} \approx -1.166666667$$

Steps for Solving Linear Equation

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

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

Combine 2x and 3x to get 5x.

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

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

$$5x-3=4x-5x-10$$

Combine 4x and -5x to get -x.

$$5x-3=-x-10$$

Add x to both sides.

$$5x-3+x=-10$$

Combine 5x and x to get 6x.

$$6x-3=-10$$

Add 3 to both sides.

$$6x=-10+3$$

Add -10 and 3 to get -7.

$$6x=-7$$

Divide both sides by 6.

$$x=\frac{-7}{6}$$

Fraction \frac{-7}{6} can be rewritten as -\frac{7}{6} by extracting the negative sign.

$$x=-\frac{7}{6}$$