Solve -6(x-3)+4x=3(x-4)

$$-6(x-3)+4x=3(x-4)$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by x-3.

$$-6x+18+4x=3\left(x-4\right)$$

Combine -6x and 4x to get -2x.

$$-2x+18=3\left(x-4\right)$$

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

$$-2x+18=3x-12$$

Subtract 3x from both sides.

$$-2x+18-3x=-12$$

Combine -2x and -3x to get -5x.

$$-5x+18=-12$$

Subtract 18 from both sides.

$$-5x=-12-18$$

Subtract 18 from -12 to get -30.

$$-5x=-30$$

Divide both sides by -5.

$$x=\frac{-30}{-5}$$

Divide -30 by -5 to get 6.

$$x=6$$