Solve 5x+3*(2x-1)+2=5*(6x-4)

$$5 x + 3 \cdot ( 2 x - 1 ) + 2 = 5 \cdot ( 6 x - 4 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$5x+6x-3+2=5\left(6x-4\right)$$

Combine 5x and 6x to get 11x.

$$11x-3+2=5\left(6x-4\right)$$

Add -3 and 2 to get -1.

$$11x-1=5\left(6x-4\right)$$

Use the distributive property to multiply 5 by 6x-4.

$$11x-1=30x-20$$

Subtract 30x from both sides.

$$11x-1-30x=-20$$

Combine 11x and -30x to get -19x.

$$-19x-1=-20$$

Add 1 to both sides.

$$-19x=-20+1$$

Add -20 and 1 to get -19.

$$-19x=-19$$

Divide both sides by -19.

$$x=\frac{-19}{-19}$$

Divide -19 by -19 to get 1.

$$x=1$$