Solve x-5*(x-2)+6x=2x-(15-7x)+3x-5

$$x - 5 \cdot ( x - 2 ) + 6 x = 2 x - ( 15 - 7 x ) + 3 x - 5$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$x-5x+10+6x=2x-\left(15-7x\right)+3x-5$$

Combine x and -5x to get -4x.

$$-4x+10+6x=2x-\left(15-7x\right)+3x-5$$

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

$$2x+10=2x-\left(15-7x\right)+3x-5$$

To find the opposite of 15-7x, find the opposite of each term.

$$2x+10=2x-15-\left(-7x\right)+3x-5$$

The opposite of -7x is 7x.

$$2x+10=2x-15+7x+3x-5$$

Combine 2x and 7x to get 9x.

$$2x+10=9x-15+3x-5$$

Combine 9x and 3x to get 12x.

$$2x+10=12x-15-5$$

Subtract 5 from -15 to get -20.

$$2x+10=12x-20$$

Subtract 12x from both sides.

$$2x+10-12x=-20$$

Combine 2x and -12x to get -10x.

$$-10x+10=-20$$

Subtract 10 from both sides.

$$-10x=-20-10$$

Subtract 10 from -20 to get -30.

$$-10x=-30$$

Divide both sides by -10.

$$x=\frac{-30}{-10}$$

Divide -30 by -10 to get 3.

$$x=3$$