Solve 6x+3+2(3x-5)=-2x+15-(2x+6)

$$6x+3+2(3x-5)=-2x+15-(2x+6)$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3x-5.

$$6x+3+6x-10=-2x+15-\left(2x+6\right)$$

Combine 6x and 6x to get 12x.

$$12x+3-10=-2x+15-\left(2x+6\right)$$

Subtract 10 from 3 to get -7.

$$12x-7=-2x+15-\left(2x+6\right)$$

To find the opposite of 2x+6, find the opposite of each term.

$$12x-7=-2x+15-2x-6$$

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

$$12x-7=-4x+15-6$$

Subtract 6 from 15 to get 9.

$$12x-7=-4x+9$$

Add 4x to both sides.

$$12x-7+4x=9$$

Combine 12x and 4x to get 16x.

$$16x-7=9$$

Add 7 to both sides.

$$16x=9+7$$

Add 9 and 7 to get 16.

$$16x=16$$

Divide both sides by 16.

$$x=\frac{16}{16}$$

Divide 16 by 16 to get 1.

$$x=1$$