Evaluate 2x-3+4x=27

$2 x - 3 + 4 x = 27$

Add $2 x$ and $4 x$ .

$6 x - 3 = 27$

Move all terms not containing $x$ to the right side of the equation.

Add $3$ to both sides of the equation.

$6 x = 27 + 3$

Add $27$ and $3$ .

$6 x = 30$

Divide each term in $6 x = 30$ by $6$ and simplify.

Divide each term in $6 x = 30$ by $6$ .

$\frac{6 x}{6} = \frac{30}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{30}{6}$

Divide $x$ by $1$ .

$x = \frac{30}{6}$

Simplify the right side.

Divide $30$ by $6$ .

$x = 5$