Question

solve the question 7(X+1)=3(X+2)​

Answer 1

Answer:

-5/4

Step-by-step explanation:

7x + 7 = 3x + 2

7x - 3x = 2 - 7

4x = -5

X = -5/4

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Answer 2

Answer:

$7\left(X+1\right)=3\left(X+2\right)\quad :\quad X=-\dfrac{1}{4}\quad \left(\mathrm{Decimal}:\quad X=-0.25\right)$

Step-by-step explanation:

$7\left(X+1\right)=3\left(X+2\right)$

$\gray{\mathrm{Expand\:}7\left(X+1\right):\quad 7X+7}$

$\gray{\mathrm{Expand\:}3\left(X+2\right):\quad 3X+6}$

$7X+7=3X+6$

$\gray{\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}}$

$7X+7-7=3X+6-7$

$\gray{\mathrm{Simplify}}$

$7X=3X-1$

$\gray{\mathrm{Subtract\:}3X\mathrm{\:from\:both\:sides}}$

$7X-3X=3X-1-3X$

$\gray{\mathrm{Simplify}}$

$4X=-1$

$\gray{\mathrm{Divide\:both\:sides\:by\:}4}$

$\dfrac{4X}{4}=\dfrac{-1}{4}$

$\gray{\mathrm{Simplify}}$

$X=-\dfrac{1}{4}$