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4 years ago

Solve the equation 3(x + 1) − 2 = x + 5.

Mathematics

2 answers:

FrozenT [24]4 years ago

6 0

The answer would be x=2

BlackZzzverrR [31]4 years ago

5 0

Answer:

X=2

Step-by-step explanation:

First, distribute the 3 to get

3x+3-2=x+5

Solve for 3-2 to get

3x+1=x+5

subtract 1 from both sides to get

3x=x+4

subtract x from both sides to get

2x=4

divide both sides by 2 to finalily get

x=2

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<img src="https://tex.z-dn.net/?f=%20Simplify%3A%20%5C%3A%2018%20%5Cdiv%2016%20%2B%20%5B8%20%5C%7B16%20%5Cdiv%20%2810%20-%20%5Co

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<h3>Simplify :</h3>

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}$

Simplifying vinculum bar 

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}$

Simplifying parentheses brackets

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}$

Simplifying curly brackets 

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \dfrac{16}{4} \bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \cancel{\dfrac{16}{4}} \bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}$

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${:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}$

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According to BODMAS rule simplifying devision 

${:\implies{\small{\sf{18 \div 16 + 32}}}}$

${:\implies{\small{\sf{ \dfrac{18}{16} + 32}}}}$

${:\implies{\small{\sf{{\cancel{\dfrac{18}{16}} + 32}}}}}$

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Now, according to BODMAS rule simplifying addition

${:\implies{\small{\sf{ 1.125 + 32}}}}$

${:\implies{\small{\sf{33.125}}}}$

${:\implies{\underline{\boxed{\pmb{\sf{Answer = 33.125}}}}}}$

∴ The answer is 33.125.

 $\underline{\rule{200pt}{2.5pt}}$ 

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