Solve 2x+5x/3=9x-5/2

$$\frac { 2 x + 5 x } { 3 } = \frac { 9 x - 5 } { 2 }$$

Solve for x

$$x = \frac{15}{13} = 1\frac{2}{13} \approx 1.153846154$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\left(2x+5x\right)=3\left(9x-5\right)$$

Combine 2x and 5x to get 7x.

$$2\times 7x=3\left(9x-5\right)$$

Multiply 2 and 7 to get 14.

$$14x=3\left(9x-5\right)$$

Use the distributive property to multiply 3 by 9x-5.

$$14x=27x-15$$

Subtract 27x from both sides.

$$14x-27x=-15$$

Combine 14x and -27x to get -13x.

$$-13x=-15$$

Divide both sides by -13.

$$x=\frac{-15}{-13}$$

Fraction \frac{-15}{-13} can be simplified to \frac{15}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{15}{13}$$