[tex]2(x-5)-6x=22[/tex] ⇒ We start by multiplying out the bracket and this property is called DISTRIBUTIVE property
[tex]2x-10-6x=-22[/tex] ⇒ from here the next step is simplifying by collecting like terms
[tex]2x-6x-10=-22[/tex] ⇒ The simplifying process is the application of COMMUTATIVE property since this property allows us to 'group' the like terms together. In other words, this property allows us to move the [tex]-6x[/tex] next to the [tex]2x[/tex].
[tex](2-6)x-10=-22[/tex] ⇒ This what actually happened when we simplify [tex]2x-6x[/tex], we work out the sum of [tex](2-6)[/tex] and the answer is multiplied back to [tex]x[/tex]. This is called the ASSOCIATIVE property as we 'associating' the constant of the like terms.
[tex]-8x-10=-22[/tex] ⇒ Adding 10 on both sides to eliminate [tex]-10[/tex] on the left hand side of equation
[tex]-8x=-22+10[/tex]
[tex]-8x=-12[/tex]
[tex]x= \frac{-12}{-8}= \frac{3}{2}=1.5 [/tex]
Hence, the steps are
STEP 1
STEP 4
STEP 2
STEP 3
STEP 5
