Solve 12+x/2=5x-7/3

$$\frac{ 12+x }{ 2 } = \frac{ 5x-7 }{ 3 }$$

Solve for x

$$x = \frac{50}{7} = 7\frac{1}{7} \approx 7.142857143$$

Steps for Solving Linear Equation

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

$$3\left(12+x\right)=2\left(5x-7\right)$$

Use the distributive property to multiply 3 by 12+x.

$$36+3x=2\left(5x-7\right)$$

Use the distributive property to multiply 2 by 5x-7.

$$36+3x=10x-14$$

Subtract 10x from both sides.

$$36+3x-10x=-14$$

Combine 3x and -10x to get -7x.

$$36-7x=-14$$

Subtract 36 from both sides.

$$-7x=-14-36$$

Subtract 36 from -14 to get -50.

$$-7x=-50$$

Divide both sides by -7.

$$x=\frac{-50}{-7}$$

Fraction \frac{-50}{-7} can be simplified to \frac{50}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{50}{7}$$