Solve 3*(2x-1)+21=5*(3x-2)+1

$$3 \cdot ( 2 x - 1 ) + 21 = 5 \cdot ( 3 x - 2 ) + 1$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$6x-3+21=5\left(3x-2\right)+1$$

Add -3 and 21 to get 18.

$$6x+18=5\left(3x-2\right)+1$$

Use the distributive property to multiply 5 by 3x-2.

$$6x+18=15x-10+1$$

Add -10 and 1 to get -9.

$$6x+18=15x-9$$

Subtract 15x from both sides.

$$6x+18-15x=-9$$

Combine 6x and -15x to get -9x.

$$-9x+18=-9$$

Subtract 18 from both sides.

$$-9x=-9-18$$

Subtract 18 from -9 to get -27.

$$-9x=-27$$

Divide both sides by -9.

$$x=\frac{-27}{-9}$$

Divide -27 by -9 to get 3.

$$x=3$$