Solve x+3/7+2m-5/3=3m-5/3-25/1

$$\frac { x + 3 } { 7 } + \frac { 2 m - 5 } { 3 } = \frac { 3 m - 5 } { 3 } - \frac { 25 } { 1 }$$

Solve for m

$$m=\frac{3\left(x+178\right)}{7}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 7,3.

$$3\left(x+3\right)+7\left(2m-5\right)=7\left(3m-5\right)-21\times 25$$

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

$$3x+9+7\left(2m-5\right)=7\left(3m-5\right)-21\times 25$$

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

$$3x+9+14m-35=7\left(3m-5\right)-21\times 25$$

Subtract 35 from 9 to get -26.

$$3x-26+14m=7\left(3m-5\right)-21\times 25$$

Use the distributive property to multiply 7 by 3m-5.

$$3x-26+14m=21m-35-21\times 25$$

Multiply -21 and 25 to get -525.

$$3x-26+14m=21m-35-525$$

Subtract 525 from -35 to get -560.

$$3x-26+14m=21m-560$$

Subtract 21m from both sides.

$$3x-26+14m-21m=-560$$

Combine 14m and -21m to get -7m.

$$3x-26-7m=-560$$

Subtract 3x from both sides.

$$-26-7m=-560-3x$$

Add 26 to both sides.

$$-7m=-560-3x+26$$

Add -560 and 26 to get -534.

$$-7m=-534-3x$$

The equation is in standard form.

$$-7m=-3x-534$$

Divide both sides by -7.

$$\frac{-7m}{-7}=\frac{-3x-534}{-7}$$

Dividing by -7 undoes the multiplication by -7.

$$m=\frac{-3x-534}{-7}$$

Divide -534-3x by -7.

$$m=\frac{3x+534}{7}$$

Solve for x

$$x=\frac{7m}{3}-178$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 7,3.

$$3\left(x+3\right)+7\left(2m-5\right)=7\left(3m-5\right)-21\times 25$$

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

$$3x+9+7\left(2m-5\right)=7\left(3m-5\right)-21\times 25$$

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

$$3x+9+14m-35=7\left(3m-5\right)-21\times 25$$

Subtract 35 from 9 to get -26.

$$3x-26+14m=7\left(3m-5\right)-21\times 25$$

Use the distributive property to multiply 7 by 3m-5.

$$3x-26+14m=21m-35-21\times 25$$

Multiply -21 and 25 to get -525.

$$3x-26+14m=21m-35-525$$

Subtract 525 from -35 to get -560.

$$3x-26+14m=21m-560$$

Add 26 to both sides.

$$3x+14m=21m-560+26$$

Add -560 and 26 to get -534.

$$3x+14m=21m-534$$

Subtract 14m from both sides.

$$3x=21m-534-14m$$

Combine 21m and -14m to get 7m.

$$3x=7m-534$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{7m-534}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{7m-534}{3}$$

Divide 7m-534 by 3.

$$x=\frac{7m}{3}-178$$