Simplifying
2(x + -5) = 9 + -3x + 6 + 8 + 3x + 7
Reorder the terms:
2(-5 + x) = 9 + -3x + 6 + 8 + 3x + 7
(-5 * 2 + x * 2) = 9 + -3x + 6 + 8 + 3x + 7
(-10 + 2x) = 9 + -3x + 6 + 8 + 3x + 7
Reorder the terms:
-10 + 2x = 9 + 6 + 8 + 7 + -3x + 3x
Combine like terms: 9 + 6 = 15
-10 + 2x = 15 + 8 + 7 + -3x + 3x
Combine like terms: 15 + 8 = 23
-10 + 2x = 23 + 7 + -3x + 3x
Combine like terms: 23 + 7 = 30
-10 + 2x = 30 + -3x + 3x
Combine like terms: -3x + 3x = 0
-10 + 2x = 30 + 0
-10 + 2x = 30
Solving
-10 + 2x = 30
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 2x = 30 + 10
Combine like terms: -10 + 10 = 0
0 + 2x = 30 + 10
2x = 30 + 10
Combine like terms: 30 + 10 = 40
2x = 40
Divide each side by '2'.
x = 20
Simplifying
x = 20
The given expression is [tex] 2(x-5)=9-3x+6+8+3x+7 [/tex]
[tex] =2x-10=9-3x+6+8+3x+7 [/tex]
Combining all the like terms, we get,
[tex] =(2x+3x-3x)=(10+9+6+8+7) [/tex]
[tex] =2x=40 [/tex]
Dividing both the sides of the equation by 2,
x=20 is the solution to the given equation.
