Answer:
The reason of each steps are Distributive property, addition property of equality, addition property of equality and multiplication property of equality.
Step-by-step explanation:
Let a,b and c are real number.
According to distributive property
[tex]a\cdot (b+c)=a\cdot b+a\cdot c[/tex]
Where, a,b and c are real number.
According to addition property of equality [tex]a=b[/tex] and [tex]a+c=b+c[/tex] are equivalent equations.
According to multiplicative property of equality [tex]a=b[/tex] and [tex]ac=bc[/tex] are equivalent equations.
The given equation is
[tex]4(x-7)=2x-6[/tex]
[tex]4(x)+4(-7)=2x-6[/tex]
[tex]4x-28=2x-6[/tex] (Distributive Property)
Add -2x both sides.
[tex]4x-28-2x=2x-6-2x[/tex]
[tex]2x-28=-6[/tex] (Addition property of equality)
Add 28 both sides.
[tex]2x-28+28=-6+28[/tex]
[tex]2x=22[/tex] (Addition property of equality)
Multiply both sides by [tex]\frac{1}{2}[/tex]
[tex]2x\times \frac{1}{2}=22\times \frac{1}{2}[/tex]
[tex]x=11[/tex] (Multiplication property of equality)
Answer:
Step 1: Distributive Property
Step 2: Addition Property of Equality
Step 3: Addition Property of Equality
Step 4: Multiplication Property of Equality
Step-by-step explanation:
