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

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x-1.

$$6x-3-1=-4\left(x-4\right)$$

Subtract 1 from -3 to get -4.

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

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

$$6x-4=-4x+16$$

Add 4x to both sides.

$$6x-4+4x=16$$

Combine 6x and 4x to get 10x.

$$10x-4=16$$

Add 4 to both sides.

$$10x=16+4$$

Add 16 and 4 to get 20.

$$10x=20$$

Divide both sides by 10.

$$x=\frac{20}{10}$$

Divide 20 by 10 to get 2.

$$x=2$$