Solve 2(x-1)+3=3(2x-1)-16

$$2(x-1)+3=3(2x-1)-16$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

$$2x-2+3=3\left(2x-1\right)-16$$

Add -2 and 3 to get 1.

$$2x+1=3\left(2x-1\right)-16$$

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

$$2x+1=6x-3-16$$

Subtract 16 from -3 to get -19.

$$2x+1=6x-19$$

Subtract 6x from both sides.

$$2x+1-6x=-19$$

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

$$-4x+1=-19$$

Subtract 1 from both sides.

$$-4x=-19-1$$

Subtract 1 from -19 to get -20.

$$-4x=-20$$

Divide both sides by -4.

$$x=\frac{-20}{-4}$$

Divide -20 by -4 to get 5.

$$x=5$$