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

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

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

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

$$x-3x+3=5x-4\left(x-1\right)$$

Combine x and -3x to get -2x.

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

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

$$-2x+3=5x-4x+4$$

Combine 5x and -4x to get x.

$$-2x+3=x+4$$

Subtract x from both sides.

$$-2x+3-x=4$$

Combine -2x and -x to get -3x.

$$-3x+3=4$$

Subtract 3 from both sides.

$$-3x=4-3$$

Subtract 3 from 4 to get 1.

$$-3x=1$$

Divide both sides by -3.

$$x=\frac{1}{-3}$$

Fraction \frac{1}{-3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$x=-\frac{1}{3}$$