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

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

Solve for x

$$x = -\frac{55}{41} = -1\frac{14}{41} \approx -1.341463415$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

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

Use the distributive property to multiply 5 by 4x+5.

$$20x+25+30=-3\times 7x$$

Add 25 and 30 to get 55.

$$20x+55=-3\times 7x$$

Multiply -3 and 7 to get -21.

$$20x+55=-21x$$

Add 21x to both sides.

$$20x+55+21x=0$$

Combine 20x and 21x to get 41x.

$$41x+55=0$$

Subtract 55 from both sides. Anything subtracted from zero gives its negation.

$$41x=-55$$

Divide both sides by 41.

$$x=\frac{-55}{41}$$

Fraction \frac{-55}{41} can be rewritten as -\frac{55}{41} by extracting the negative sign.

$$x=-\frac{55}{41}$$