Answer:
[tex]\rm x=7[/tex]
Step-by-step explanation:
Given equation:
[tex]\rm 5x-2+x=9+3x+10[/tex]
Collect like terms:
[tex]\implies \rm 5x+x-2=3x+10+9[/tex]
Combine like terms:
[tex]\implies \rm 6x-2=3x+19[/tex]
Add 2 to both sides:
[tex]\rm \implies 6x-2+2=3x+19+2[/tex]
[tex]\rm \implies 6x=3x+21[/tex]
Subtract 3x from both sides:
[tex]\rm \implies 6x-3x=3x+21-3x[/tex]
[tex]\implies \rm 3x=21[/tex]
Divide both sides by 3:
[tex]\implies \rm 3x \div 3=21 \div 3[/tex]
[tex]\implies \rm x=7[/tex]
