Solve 10(2x-1)+5(3x-4)=360

$$10(2x-1)+5(3x-4)=360$$

Solve for x

$$x = \frac{78}{7} = 11\frac{1}{7} \approx 11.142857143$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by 2x-1.

$$20x-10+5\left(3x-4\right)=360$$

Use the distributive property to multiply 5 by 3x-4.

$$20x-10+15x-20=360$$

Combine 20x and 15x to get 35x.

$$35x-10-20=360$$

Subtract 20 from -10 to get -30.

$$35x-30=360$$

Add 30 to both sides.

$$35x=360+30$$

Add 360 and 30 to get 390.

$$35x=390$$

Divide both sides by 35.

$$x=\frac{390}{35}$$

Reduce the fraction \frac{390}{35} to lowest terms by extracting and canceling out 5.

$$x=\frac{78}{7}$$