Solve 2+7/5(x+1)=x-2x+3/5

$$2 + \frac { 7 } { 5 } ( x + 1 ) = x - \frac { 2 x + 3 } { 5 }$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$10+7\left(x+1\right)=5x-\left(2x+3\right)$$

Use the distributive property to multiply 7 by x+1.

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

Add 10 and 7 to get 17.

$$17+7x=5x-\left(2x+3\right)$$

To find the opposite of 2x+3, find the opposite of each term.

$$17+7x=5x-2x-3$$

Combine 5x and -2x to get 3x.

$$17+7x=3x-3$$

Subtract 3x from both sides.

$$17+7x-3x=-3$$

Combine 7x and -3x to get 4x.

$$17+4x=-3$$

Subtract 17 from both sides.

$$4x=-3-17$$

Subtract 17 from -3 to get -20.

$$4x=-20$$

Divide both sides by 4.

$$x=\frac{-20}{4}$$

Divide -20 by 4 to get -5.

$$x=-5$$