Respuesta :

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]15x+6=10x+21[/tex]

Subtract 6 from both sides:

[tex]15x+6-6=10x+21-6[/tex]

[tex]15x=10x+15[/tex]

Subtract 10x from both sides:

[tex]15x-10x=10x+15-10x[/tex]

[tex]5x=15[/tex]

Divide both sides by 5:

[tex]\frac{5x}{5}=\frac{15}{5}[/tex]

[tex]x=3[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{15x + 6 = 10x + 21}[/tex]

Move 10x to left hand side and change it's sign

Similarly, move 6 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{15x - 10x = 21 - 6}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{5x = 21 - 6}}[/tex]

Subtract 6 from 21

[tex] \dashrightarrow{ \sf{5x = 15}}[/tex]

Divide both sides by 5

[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{15}{5}}} [/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 3}}[/tex]

Hope I helped!

Best regards! :D