Solve (8x-6)div2=3x-(6-2x)+7

$$(8x-6) \div 2=3x-(6-2x)+7$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$8x-6=6x-2\left(6-2x\right)+14$$

Use the distributive property to multiply -2 by 6-2x.

$$8x-6=6x-12+4x+14$$

Combine 6x and 4x to get 10x.

$$8x-6=10x-12+14$$

Add -12 and 14 to get 2.

$$8x-6=10x+2$$

Subtract 10x from both sides.

$$8x-6-10x=2$$

Combine 8x and -10x to get -2x.

$$-2x-6=2$$

Add 6 to both sides.

$$-2x=2+6$$

Add 2 and 6 to get 8.

$$-2x=8$$

Divide both sides by -2.

$$x=\frac{8}{-2}$$

Divide 8 by -2 to get -4.

$$x=-4$$