Solve 5x+2y+7=-(2x-5y+26)

$$5x+2y+7=-(2x-5y+26)$$

Solve for x

$$x=\frac{3\left(y-11\right)}{7}$$

Steps for Solving Linear Equation

To find the opposite of 2x-5y+26, find the opposite of each term.

$$5x+2y+7=-2x+5y-26$$

Add 2x to both sides.

$$5x+2y+7+2x=5y-26$$

Combine 5x and 2x to get 7x.

$$7x+2y+7=5y-26$$

Subtract 2y from both sides.

$$7x+7=5y-26-2y$$

Combine 5y and -2y to get 3y.

$$7x+7=3y-26$$

Subtract 7 from both sides.

$$7x=3y-26-7$$

Subtract 7 from -26 to get -33.

$$7x=3y-33$$

Divide both sides by 7.

$$\frac{7x}{7}=\frac{3y-33}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$x=\frac{3y-33}{7}$$

Solve for y

$$y=\frac{7x}{3}+11$$

Steps for Solving Linear Equation

To find the opposite of 2x-5y+26, find the opposite of each term.

$$5x+2y+7=-2x+5y-26$$

Subtract 5y from both sides.

$$5x+2y+7-5y=-2x-26$$

Combine 2y and -5y to get -3y.

$$5x-3y+7=-2x-26$$

Subtract 5x from both sides.

$$-3y+7=-2x-26-5x$$

Combine -2x and -5x to get -7x.

$$-3y+7=-7x-26$$

Subtract 7 from both sides.

$$-3y=-7x-26-7$$

Subtract 7 from -26 to get -33.

$$-3y=-7x-33$$

Divide both sides by -3.

$$\frac{-3y}{-3}=\frac{-7x-33}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$y=\frac{-7x-33}{-3}$$

Divide -7x-33 by -3.

$$y=\frac{7x}{3}+11$$