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BartSMP [9]
2 years ago
14

Solve for the value of x:-4x+3(x-1)=67​

Mathematics
2 answers:
irina [24]2 years ago
7 0

Hi. . .

✦•···················•✦•···················•✦

<h2><u>A n s w e r : -</u></h2>

\boxed{\fbox{\huge{x = 10}}}

<h2><u>E x p l a n a t i o n :</u></h2>

Let's solve your equation step-by-step ~

<h3>➳ Step 1: Simplify both sides of the equation. </h3>

\sf{4x \: + \: 3(x \: - \: 1) = 67}

\sf{4x \: + \: (3)(x) \: + \: (3)(-1) = 67} \: (Distribute)

\sf{4x \: + \: 3x \: + \: -3 = 67}

\sf{(4x \: + \: 3x) \: + \: (-3) = 67} \: (Combine \: like \: terms)

\sf{7x \: + \: 7 \: -3 = 67}

\sf{7x \: - \: 3 = 67}

<h3>➺  Step 2: Add 3 to both sides.</h3>

\sf{7x \: - \: 3 \: + \: 3 = 67 \: + 3}

\sf{7x = 70}

<h3>➽ Step 3: Divide both sides by 7.</h3>

\sf{\frac{7x}{7} = \frac{70}{7}

\boxed{\fbox{\huge{x = 10}}}

Hope It Helps...

Orlov [11]2 years ago
5 0

Answer:

x = 10

Step-by-step explanation:

4x + 3(x - 1) = 67 ← distribute parenthesis and simplify left side

4x + 3x - 3 = 67

7x - 3 = 67 ( add 3 to both sides )

7x = 70 ( divide both sides by 7 )

x = 10

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