Solve x+5(x-y)=4(x-3)-26

$$x + 5 ( x - y ) = 4 ( x - 3 ) - 26$$

Solve for x

$$x=\frac{5y}{2}-19$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-y.

$$x+5x-5y=4\left(x-3\right)-26$$

Combine x and 5x to get 6x.

$$6x-5y=4\left(x-3\right)-26$$

Use the distributive property to multiply 4 by x-3.

$$6x-5y=4x-12-26$$

Subtract 26 from -12 to get -38.

$$6x-5y=4x-38$$

Subtract 4x from both sides.

$$6x-5y-4x=-38$$

Combine 6x and -4x to get 2x.

$$2x-5y=-38$$

Add 5y to both sides.

$$2x=-38+5y$$

The equation is in standard form.

$$2x=5y-38$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{5y-38}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{5y-38}{2}$$

Divide -38+5y by 2.

$$x=\frac{5y}{2}-19$$

Solve for y

$$y=\frac{2\left(x+19\right)}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-y.

$$x+5x-5y=4\left(x-3\right)-26$$

Combine x and 5x to get 6x.

$$6x-5y=4\left(x-3\right)-26$$

Use the distributive property to multiply 4 by x-3.

$$6x-5y=4x-12-26$$

Subtract 26 from -12 to get -38.

$$6x-5y=4x-38$$

Subtract 6x from both sides.

$$-5y=4x-38-6x$$

Combine 4x and -6x to get -2x.

$$-5y=-2x-38$$

Divide both sides by -5.

$$\frac{-5y}{-5}=\frac{-2x-38}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$y=\frac{-2x-38}{-5}$$

Divide -2x-38 by -5.

$$y=\frac{2x+38}{5}$$