Question

2(x-7)-3(x-4)=1
How do you solve?

Answer 1

hi  there,

Let's solve your equation step-by-step.

2(x−7)−3(x−4)=1

Step 1: Simplify both sides of the equation.

2(x−7)−3(x−4)=1

(2)(x)+(2)(−7)+(−3)(x)+(−3)(−4)=1(Distribute)

2x+−14+−3x+12=1

(2x+−3x)+(−14+12)=1(Combine Like Terms)

−x+−2=1

−x−2=1

Step 2: Add 2 to both sides.

−x−2+2=1+2

−x=3

Step 3: Divide both sides by -1.

−x

−1

=

3

−1

x=−3

Answer:

x=−3

Answer 2

First use the rule a(b+c)=ab+bc
2x - 14 - 3x + 12 = 1
Then, combine like terms
-1x - 2 = 1
Now, multiply both sides of the equation by -1, and then subtract 2 from both sides.
The result:
x = -3