Solve 12+x/-4=5x-7/3+2

$$\frac { 12 + x } { - 4 } = \frac { 5 x - 7 } { 3 } + 2$$

Solve for x

$$x = -\frac{32}{23} = -1\frac{9}{23} \approx -1.391304348$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of -4,3.

$$-3\left(12+x\right)=4\left(5x-7\right)+24$$

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

$$-36-3x=4\left(5x-7\right)+24$$

Use the distributive property to multiply 4 by 5x-7.

$$-36-3x=20x-28+24$$

Add -28 and 24 to get -4.

$$-36-3x=20x-4$$

Subtract 20x from both sides.

$$-36-3x-20x=-4$$

Combine -3x and -20x to get -23x.

$$-36-23x=-4$$

Add 36 to both sides.

$$-23x=-4+36$$

Add -4 and 36 to get 32.

$$-23x=32$$

Divide both sides by -23.

$$x=\frac{32}{-23}$$

Fraction \frac{32}{-23} can be rewritten as -\frac{32}{23} by extracting the negative sign.

$$x=-\frac{32}{23}$$