Answer:
7/5
Step-by-step explanation:
12x - 15 =6 - 3x
Add 3x to each side
12x+3x - 15 =6 - 3x+3x
15x -15 = 6
Add 15 to each side
15x -15+15 = 6+15
Divide by 15
15x/15 =21/15
x = 7/5
Answer:
[tex]\boxed{x = \dfrac{7}{5}}[/tex]
Step-by-step explanation:
Given equation:
[tex]12x - 15 = 6 - 3x[/tex]
To solve for x, we need to isolate the "x" variable on one side of the equation. The constant obtained on the other side of the equation will be the solution (x).
Add 15 both sides of the equation:
[tex]\implies 12x - 15 + 15 = 6 - 3x + 15[/tex]
[tex]\implies 12x = 21 - 3x[/tex]
Add 3x both sides of the equation:
[tex]\implies 12x + 3x= 21 - 3x + 3x[/tex]
[tex]\implies 15x= 21[/tex]
Divide both sides by 15 to isolate the cooeficient from "x".
[tex]\implies \dfrac{ 15x}{15} = \dfrac{21}{15}[/tex]
[tex]\implies x = \dfrac{21}{15}[/tex]
Simplify the value of "x" as required:
[tex]\implies x = \dfrac{7 \times 3}{5 \times 3}[/tex]
[tex]\implies \boxed{x = \dfrac{7}{5}}[/tex]
