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

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

Solve for x

$$x = \frac{34}{5} = 6\frac{4}{5} = 6.8$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply -2 by x-6.

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

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

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

Add -4 and 12 to get 8.

$$2x+8=6-3\left(x-12\right)$$

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

$$2x+8=6-3x+36$$

Add 6 and 36 to get 42.

$$2x+8=42-3x$$

Add 3x to both sides.

$$2x+8+3x=42$$

Combine 2x and 3x to get 5x.

$$5x+8=42$$

Subtract 8 from both sides.

$$5x=42-8$$

Subtract 8 from 42 to get 34.

$$5x=34$$

Divide both sides by 5.

$$x=\frac{34}{5}$$