Question

solve the equation 2(X+3)-3x=8-2(2x-5)

please answer my question...​

Answer 1

Hey there!

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★ As per your given question, we have to solve the equation and find the value of 'x'.

★ Remember that 'x' is a common variable used in this question and answer.

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$\rm{\longrightarrow 2 (x + 3) - 3x = 8 - 2(2x - 5)}$

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Simplify both sides:-

$\rm{\longrightarrow 2(x + 3) - 3x = 8 - 2(2x - 5)}$

$\rm{\longrightarrow (2)(x) + (2)(3) + -3x = 8 + (-2) (2x) + (-2)(-5)}$

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Distributing the equation:-

$\rm{\longrightarrow 2x + 6 + -3x = 8 + -4x + 10}$

$\rm{\longrightarrow (2x + -3x) + (6) = (-4x) + (8 + 10)}$

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Combining the like terms:-

$\rm{\longrightarrow -x + 6 = -4x + 18}$

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Adding '4x' for both sides:-

$\rm{\longrightarrow -x + 6 + 4x = -4x + 18 + 4x}$

$\rm{\longrightarrow 3x + 6 = 18}$

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Subtracting '6' from both sides:-

$\rm{\longrightarrow 3x + 6 - 6 = 18 - 6}$

$\rm{\longrightarrow 3x = 12}$

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Dividing '3' on both sides:-

$\rm{\longrightarrow \dfrac{3x}{x} = \dfrac{12}{3}}$

${\longrightarrow{\boxed{\bold{x = 4}}}}$

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Thanks!

Answer 2

$\purple{\star} ~ \boxed {\sf {2(x + 3)-3x = 8 - 2(2x - 5)}}$

$⇢ \sf 2x + 6-3x = 8 - 4x + 10$

$⇢ \sf -x + 6 = 18 - 4x$

$⇢ \sf -x + 4x = 18 - 6$

$⇢ \sf 3x = 12$

$⇢ \sf x = \frac{12}{3}$

$\therefore~ \red{\sf{ x = 4}}$