Solve 7x+(3x-20)=x-2(7-3x)

$$7 x + ( 3 x - 20 ) = x - 2 ( 7 - 3 x )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Combine 7x and 3x to get 10x.

$$10x-20=x-2\left(7-3x\right)$$

Use the distributive property to multiply -2 by 7-3x.

$$10x-20=x-14+6x$$

Combine x and 6x to get 7x.

$$10x-20=7x-14$$

Subtract 7x from both sides.

$$10x-20-7x=-14$$

Combine 10x and -7x to get 3x.

$$3x-20=-14$$

Add 20 to both sides.

$$3x=-14+20$$

Add -14 and 20 to get 6.

$$3x=6$$

Divide both sides by 3.

$$x=\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$x=2$$