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

$$2 ( x - 3 ) - 1 = 5 ( x + 3 )$$

Solve for x

$$x = -\frac{22}{3} = -7\frac{1}{3} \approx -7.333333333$$

Steps for Solving Linear Equation

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

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

Subtract 1 from -6 to get -7.

$$2x-7=5\left(x+3\right)$$

Use the distributive property to multiply 5 by x+3.

$$2x-7=5x+15$$

Subtract 5x from both sides.

$$2x-7-5x=15$$

Combine 2x and -5x to get -3x.

$$-3x-7=15$$

Add 7 to both sides.

$$-3x=15+7$$

Add 15 and 7 to get 22.

$$-3x=22$$

Divide both sides by -3.

$$x=\frac{22}{-3}$$

Fraction \frac{22}{-3} can be rewritten as -\frac{22}{3} by extracting the negative sign.

$$x=-\frac{22}{3}$$