2(x-7)=3x

Apply the distributive property.

2x+2⋅-7=3x

Multiply 2 by -7.

2x-14=3x

2x-14=3x

Subtract 3x from both sides of the equation.

2x-14-3x=0

Subtract 3x from 2x.

-x-14=0

-x-14=0

Add 14 to both sides of the equation.

-x=14

Multiply each term in -x=14 by -1.

(-x)⋅-1=14⋅-1

Multiply (-x)⋅-1.

Multiply -1 by -1.

1x=14⋅-1

Multiply x by 1.

x=14⋅-1

x=14⋅-1

Multiply 14 by -1.

x=-14

x=-14

Solve for x 2(x-7)=3x