Solve 7x+5/2-3x+4/3=5

$$\frac { 7 x + 5 } { 2 } - \frac { 3 x + 4 } { 3 } = 5$$

Solve for x

$$x = \frac{23}{15} = 1\frac{8}{15} \approx 1.533333333$$

Steps for Solving Linear Equation

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

$$3\left(7x+5\right)-2\left(3x+4\right)=30$$

Use the distributive property to multiply 3 by 7x+5.

$$21x+15-2\left(3x+4\right)=30$$

Use the distributive property to multiply -2 by 3x+4.

$$21x+15-6x-8=30$$

Combine 21x and -6x to get 15x.

$$15x+15-8=30$$

Subtract 8 from 15 to get 7.

$$15x+7=30$$

Subtract 7 from both sides.

$$15x=30-7$$

Subtract 7 from 30 to get 23.

$$15x=23$$

Divide both sides by 15.

$$x=\frac{23}{15}$$