Answer:
x = 0 9Infinite solutions)
Step-by-step explanation:
Simplifying
5(x + 2) + -3 = 3x + -8x + 7
Reorder the terms:
5(2 + x) + -3 = 3x + -8x + 7
(2 * 5 + x * 5) + -3 = 3x + -8x + 7
(10 + 5x) + -3 = 3x + -8x + 7
Reorder the terms:
10 + -3 + 5x = 3x + -8x + 7
Combine like terms: 10 + -3 = 7
7 + 5x = 3x + -8x + 7
Reorder the terms:
7 + 5x = 7 + 3x + -8x
Combine like terms: 3x + -8x = -5x
7 + 5x = 7 + -5x
Add '-7' to each side of the equation.
7 + -7 + 5x = 7 + -7 + -5x
Combine like terms: 7 + -7 = 0
0 + 5x = 7 + -7 + -5x
5x = 7 + -7 + -5x
Combine like terms: 7 + -7 = 0
5x = 0 + -5x
5x = -5x
Solving
5x = -5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5x' to each side of the equation.
5x + 5x = -5x + 5x
Combine like terms: 5x + 5x = 10x
10x = -5x + 5x
Combine like terms: -5x + 5x = 0
10x = 0
Divide each side by '10'.
x = 0.0
Simplifying
x = 0.0
Thanks,
Eddie
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: 5(x + 2) - 3 = 3x - 8x + 7[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x + 10 - 3 = - 5x + 7[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x + 7 = - 5x + 7[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x = - 5x[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x + 5x = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: 10x = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 0[/tex]
Here, we got a unique value of x, that is 0
Therefore, it has an unique solution ~
