Solve 6-x=4(x-3)-7(x-4)

$$6 - x = 4 ( x - 3 ) - 7 ( x - 4 )$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

$$6-x=4x-12-7\left(x-4\right)$$

Use the distributive property to multiply -7 by x-4.

$$6-x=4x-12-7x+28$$

Combine 4x and -7x to get -3x.

$$6-x=-3x-12+28$$

Add -12 and 28 to get 16.

$$6-x=-3x+16$$

Add 3x to both sides.

$$6-x+3x=16$$

Combine -x and 3x to get 2x.

$$6+2x=16$$

Subtract 6 from both sides.

$$2x=16-6$$

Subtract 6 from 16 to get 10.

$$2x=10$$

Divide both sides by 2.

$$x=\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$x=5$$