Solve 2*(x+6)-(5-3*x)=2*(-x+9)+3

$$2 \cdot ( x + 6 ) - ( 5 - 3 \cdot x ) = 2 \cdot ( - x + 9 ) + 3$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$2x+12-\left(5-3x\right)=2\left(-x+9\right)+3$$

To find the opposite of 5-3x, find the opposite of each term.

$$2x+12-5-\left(-3x\right)=2\left(-x+9\right)+3$$

The opposite of -3x is 3x.

$$2x+12-5+3x=2\left(-x+9\right)+3$$

Subtract 5 from 12 to get 7.

$$2x+7+3x=2\left(-x+9\right)+3$$

Combine 2x and 3x to get 5x.

$$5x+7=2\left(-x+9\right)+3$$

Use the distributive property to multiply 2 by -x+9.

$$5x+7=2\left(-x\right)+18+3$$

Add 18 and 3 to get 21.

$$5x+7=2\left(-x\right)+21$$

Subtract 2\left(-x\right) from both sides.

$$5x+7-2\left(-x\right)=21$$

Multiply -1 and 2 to get -2.

$$5x+7-2\left(-1\right)x=21$$

Multiply -2 and -1 to get 2.

$$5x+7+2x=21$$

Combine 5x and 2x to get 7x.

$$7x+7=21$$

Subtract 7 from both sides.

$$7x=21-7$$

Subtract 7 from 21 to get 14.

$$7x=14$$

Divide both sides by 7.

$$x=\frac{14}{7}$$

Divide 14 by 7 to get 2.

$$x=2$$