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

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

Solve for x

$$x = \frac{117}{19} = 6\frac{3}{19} \approx 6.157894737$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

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

Use the distributive property to multiply 7 by x-3.

$$5\left(7x-21+2\right)-2\times 3\left(x+2\right)=10x+10$$

Add -21 and 2 to get -19.

$$5\left(7x-19\right)-2\times 3\left(x+2\right)=10x+10$$

Use the distributive property to multiply 5 by 7x-19.

$$35x-95-2\times 3\left(x+2\right)=10x+10$$

Multiply -2 and 3 to get -6.

$$35x-95-6\left(x+2\right)=10x+10$$

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

$$35x-95-6x-12=10x+10$$

Combine 35x and -6x to get 29x.

$$29x-95-12=10x+10$$

Subtract 12 from -95 to get -107.

$$29x-107=10x+10$$

Subtract 10x from both sides.

$$29x-107-10x=10$$

Combine 29x and -10x to get 19x.

$$19x-107=10$$

Add 107 to both sides.

$$19x=10+107$$

Add 10 and 107 to get 117.

$$19x=117$$

Divide both sides by 19.

$$x=\frac{117}{19}$$