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

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

Solve for x

$$x=-\frac{1}{8}=-0.125$$

Steps for Solving Linear Equation

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

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

Combine -4x and 2x to get -2x.

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

Use the distributive property to multiply 3 by 2x-1.

$$-2x-4=6x-3$$

Subtract 6x from both sides.

$$-2x-4-6x=-3$$

Combine -2x and -6x to get -8x.

$$-8x-4=-3$$

Add 4 to both sides.

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

Add -3 and 4 to get 1.

$$-8x=1$$

Divide both sides by -8.

$$x=\frac{1}{-8}$$

Fraction \frac{1}{-8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

$$x=-\frac{1}{8}$$