Respuesta :
Answer:
[tex]\boxed{\sf \bold{x = -8}}[/tex]
Explanation:
3(2x+2)= 4x -10
apply distributive method: a(b+c) = ab + ac
3(2x) + 3(2) = 4x - 10
multiply
6x + 6 = 4x - 10
subtract both sides by 4x
6x + 6 - 4x = 4x - 10 -4x
simplify
2x + 6 = -10
subtract both sides by 6
2x + 6 -6 = -10 -6
simplify
2x = -16
divide both sides by 2
x = -8
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's solve :} [/tex]
[tex]\qquad \sf \dashrightarrow \:3(2x + 2) = 4x - 10[/tex]
[tex]\qquad \sf \dashrightarrow \:6x + 6 = 4x - 10[/tex]
[tex]\qquad \sf \dashrightarrow \:6x - 4x = - 10 - 6[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = - 16[/tex]
[tex]\qquad \sf \dashrightarrow \:x = - 16 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:x = - 8[/tex]
[tex] \textsf{Hence, value of x is -8} [/tex]