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

$$- 3 ( x + 2 ) + 3 = 7 ( x + 5 ) + 5$$

Solve for x

$$x = -\frac{43}{10} = -4\frac{3}{10} = -4.3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by x+2.

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

Add -6 and 3 to get -3.

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

Use the distributive property to multiply 7 by x+5.

$$-3x-3=7x+35+5$$

Add 35 and 5 to get 40.

$$-3x-3=7x+40$$

Subtract 7x from both sides.

$$-3x-3-7x=40$$

Combine -3x and -7x to get -10x.

$$-10x-3=40$$

Add 3 to both sides.

$$-10x=40+3$$

Add 40 and 3 to get 43.

$$-10x=43$$

Divide both sides by -10.

$$x=\frac{43}{-10}$$

Fraction \frac{43}{-10} can be rewritten as -\frac{43}{10} by extracting the negative sign.

$$x=-\frac{43}{10}$$