Solve 4(x-1)-2-x=6-3(x-12)

$$4(x-1)-2-x=6-3(x-12)$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

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

$$4x-4-2-x=6-3\left(x-12\right)$$

Subtract 2 from -4 to get -6.

$$4x-6-x=6-3\left(x-12\right)$$

Combine 4x and -x to get 3x.

$$3x-6=6-3\left(x-12\right)$$

Use the distributive property to multiply -3 by x-12.

$$3x-6=6-3x+36$$

Add 6 and 36 to get 42.

$$3x-6=42-3x$$

Add 3x to both sides.

$$3x-6+3x=42$$

Combine 3x and 3x to get 6x.

$$6x-6=42$$

Add 6 to both sides.

$$6x=42+6$$

Add 42 and 6 to get 48.

$$6x=48$$

Divide both sides by 6.

$$x=\frac{48}{6}$$

Divide 48 by 6 to get 8.

$$x=8$$