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aniked [119]
3 years ago
8

Drag a statement or reason to each box to complete the proof.

Mathematics
2 answers:
natka813 [3]3 years ago
7 0

See the attached picture:

nika2105 [10]3 years ago
4 0

Answer:

Given an equation: 5(x+6)=x+38

Distributive Property of equality tells us that the multiplication over addition can be used when you multiply a number by a sum.

i.e a\cdot(b+c)=a\cdot b+a\cdot c

Apply distributive property on term 5(x+6) i.e,

5(x+6)=5\cdot x+5\cdot 6 =5x+30

Then, the equation become;

5x+30=x+38

Subtraction Property of equality states that you subtract the same number from both sides of an equation

Subtract 30 from both sides of an equation:

5x+30-30=x+38-30

On simplifying we get;

5x=x+8

Now, subtract x from side of the equation:

5x-x=x+8-x

Simplifying:

4x=8

Division Property of equality tells us that divide the same number from both side of an equation:

Divide 4 on both sides of an equation;

\frac{4x}{4} =\frac{8}{4}

Simplifying we get;

x=2





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