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suter [353]
2 years ago
15

Can someone please help me with number 37?

Mathematics
2 answers:
Gemiola [76]2 years ago
5 0

Answer: x=10

<u>Simplify both sides of the equation</u>

<u></u>4-(3x-5)=6-(2x+7)<u></u>

<u></u>4+-1(3x-5)=6+-1(2x+7) (Distribute the Negative Sign)

4+-1(3x)+(-1)(-5)=6+-1(2x)+(-1)(7)

4+-3x+5=6+-2x+-7

(-3x)+(4+5)=(-2x)+(6+-7) (Combine Like Terms)

-3x+9=-2x+-1

<u>Add 2x to both sides</u>

<u></u>-3x+9+2x=-2x-1+2x\\-x+9=-1<u></u>

<u></u>

<u>Subtract 9 from both sides</u>

<u></u>-x+9-9=-1-9\\-x=-10<u></u>

<u></u>

<u>Divide both sides by -1</u>

<u></u>-x/-1=-10/-1\\x=10<u></u>

Romashka [77]2 years ago
3 0

Answer:

<h2>x = 10</h2>

Step-by-step explanation:

4-(3x-5)=6-(2x+7)\\\\/-(a+b)=-1(a+b)=(-1)(a)+(-1)(b)-\text{distributive property}/\\\\4-3x-(-5)=6-2x-7\\\\4-3x+5=6-2x-7\qquad\text{combine like terms}\\\\-3x+(4+5)=-2x+(6-7)\\\\-3x+9=-2x-1\qquad\text{subtract 9 from both sides}\\\\-3x+9-9=-2x-1-9\\\\-3x=-2x-10\qquad\text{sdd}\ 2x\ \text{to both sides}\\\\-3x+2x=-2x+2x-10\\\\-x=-10\qquad\text{change the signs}\\\\\boxed{x=10}

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