# Simplify the expressions and find the value if $x$ is equal to $2$$(i). x+7+4(x-5)$$(ii)$. $3(x+2)+5x-7$$(iii). 6x+5(x-2)$$(iv)$. $4(2x-1)+3x+11$

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Given: $(i)$. $x+7+4(x-5)$

$(ii)$. $3(x+2)+5x-7$

$(iii)$. $6x+5(x-2)$

$(iv)$. $4(2x-1)+3x+11$

To do: To simplify the expressions and find the value of $x$ is equal to $2$.

Solution:

$(i)$. $x+7+4(x-5)$

$=x+7+4x-20$

$=x+4x+7-20$

$=5x+7-20$

$=5x-13$

$=5(2)-13$                                   If, $x=2$

$=10-13$

$=-3$

$(ii)$. $3(x+2)+5x-7$

$=3x+6+5x-7$

$=8x-1$

$=8(2) - 1$                                    If, $x=2$

$=16 - 1$

$=15$

$iii)$. $6x+5(x-2)$

$=6x+5x-10$

$=11x-10$

$=11(2)-10$                                  If, $x=2$

$=22-10$

$=12$

$(iv)$. $4(2x-1)+3x+11$

$=8x-4+3x+11$

$=11x+7$

$=11(2) +7$                  If, $x=2$

$=22+7$

$=29$
Updated on 10-Oct-2022 13:38:20