Question

Find the solution to this equation - 3x + 32 - 7x = -2 (5x + 10)
Remember the steps
1. Distribute
2. Combine like terms on the left side
3 Pick sides variables = constants
4 Move terms that don't belong by doing the opposite operations
5 Decide what the statement means If it's always true write "infinitely many solutions." If it's always false, write "no solutions."​

Answer 1

Answer:

$x =\frac{-26}{3}$

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+32−7x=−2(5x+10)

3x+32+−7x=(−2)(5x)+(−2)(10)(Distribute)

3x+32+−7x=−10x+−20

(3x+−7x)+(32)=−10x−20(Combine Like Terms)

−4x+32=−10x−20

−4x+32=−10x−20

Step 2: Add 10x to both sides.

−4x+32+10x=−10x−20+10x

6x+32=−20

Step 3: Subtract 32 from both sides.

6x+32−32=−20−32

6x=−52

Step 4: Divide both sides by 6.

6x

6

=

−52

6

x=

−26

3