Answer :
Hello russell6333!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Solve for x.
- 144 = 12x
- 45 = 4x - 27
- 2x - 2 = 14
- 12x = 44 - 10x
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]1) \: \: \: 144 = 12x \\ \frac{144}{12} = x \\ \boxed{ \boxed{ \bf12 = x}}[/tex]
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[tex]2) \: \: \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\ \frac{72}{4} = x \\ \boxed{ \boxed { \bf18 = x }}[/tex]
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[tex]3) \: \: \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x = \frac{12}{2} \\ \boxed{ \boxed{ \bf \: x = 6}}[/tex]
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[tex]4) \: \: \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x = \frac{44}{22} \\ \boxed{\boxed{ \bf \: x = 2}}[/tex]
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NOTE :-
- To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.
- Remember that the signs & operations will change when you bring a term to the other side of the equation.
- So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.
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Hope it'll help you!
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