Answer :
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
Hi. . .
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A n s w e r : -
[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]
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.
[tex]\sf{4x \: + \: 3(x \: - \: 1) = 67}[/tex]
[tex]\sf{4x \: + \: (3)(x) \: + \: (3)(-1) = 67} \: (Distribute)[/tex]
[tex]\sf{4x \: + \: 3x \: + \: -3 = 67}[/tex]
[tex]\sf{(4x \: + \: 3x) \: + \: (-3) = 67} \: (Combine \: like \: terms)[/tex]
[tex]\sf{7x \: + \: 7 \: -3 = 67}[/tex]
[tex]\sf{7x \: - \: 3 = 67}[/tex]
➺ Step 2: Add 3 to both sides.
[tex]\sf{7x \: - \: 3 \: + \: 3 = 67 \: + 3}[/tex]
[tex]\sf{7x = 70}[/tex]
➽ Step 3: Divide both sides by 7.
[tex]\sf{\frac{7x}{7} = \frac{70}{7}[/tex]
[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]
Hope It Helps...