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

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

Solve for x

$$x=\frac{1}{14}\approx 0.071428571$$

Steps for Solving Linear Equation

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

$$x-6x-9=5x+2\left(2x-5\right)$$

Combine x and -6x to get -5x.

$$-5x-9=5x+2\left(2x-5\right)$$

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

$$-5x-9=5x+4x-10$$

Combine 5x and 4x to get 9x.

$$-5x-9=9x-10$$

Subtract 9x from both sides.

$$-5x-9-9x=-10$$

Combine -5x and -9x to get -14x.

$$-14x-9=-10$$

Add 9 to both sides.

$$-14x=-10+9$$

Add -10 and 9 to get -1.

$$-14x=-1$$

Divide both sides by -14.

$$x=\frac{-1}{-14}$$

Fraction \frac{-1}{-14} can be simplified to \frac{1}{14} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{14}$$