Answer:
x = 12
Step-by-step explanation:
Solve for x:
[tex] \longrightarrow [/tex] 5 (x - 6) = 2(x + 3)
Expand out terms of the left hand side:
[tex] \longrightarrow [/tex] 5x - 30 = 2(x + 3)
Expand out terms of the right hand side:
[tex] \longrightarrow [/tex] 5x - 30 = 2x + 6
Subtract 2x from both sides:
[tex] \longrightarrow [/tex] (5x - 2x) - 30 = (2x - 2x) + 6
5x - 2x = 3x:
[tex] \longrightarrow [/tex] 3x - 30 = (2x - 2x) + 6
2x - 2x = 0:
[tex] \longrightarrow [/tex] 3x - 30 = 6
Add 30 to both sides:
[tex] \longrightarrow [/tex] 3x + (30 - 30) = 30 + 6
30 - 30 = 0:
[tex] \longrightarrow [/tex] 3x = 6 + 30
6 + 30 = 36:
[tex] \longrightarrow [/tex] 3x = 36
Divide both sides of 3x = 36 by 3:
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{3}{3}x = \dfrac{36}{3} [/tex]
[tex] \sf \dfrac{3}{3} = 1: [/tex]
[tex] \longrightarrow [/tex] [tex] \sf x = \dfrac{36}{3} [/tex]
[tex] \sf \dfrac{36}{3} = 12: [/tex]
[tex] \longrightarrow [/tex] x = 12
