Question

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

Answer 1

Hi. . .

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A n s w e r : -

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

E x p l a n a t i o n :

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

➳ Step 1: Simplify both sides of the equation.

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

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

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

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

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

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

➺  Step 2: Add 3 to both sides.

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

$\sf{7x = 70}$

➽ Step 3: Divide both sides by 7.

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

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

Hope It Helps...

Answer 2

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