Question

solve for X:(5x-3)/(5x+3)= 11/14.x=
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Answer 1

Step-by-step explanation:

$\large \bold \green{ \underline{answer}} \\ \\ \implies \bold{x = 5} \\ \\ \implies \bold{to \: \: find} \\ \\ \implies{value \: \: of \: \: x} \\ \\ \implies \bold{ \frac{5x - 3}{5x + 3} = \frac{11}{14} } \\ \\ \implies \bold{14(5x - 3) = 11(5x + 3)} \\ \\ \implies \bold{70x - 42 = 55x + 33} \\ \\ \implies \bold{70x - 55x = 33 + 42} \\ \\ \implies \bold{15x = 75} \\ \\ \implies \bold{x = 5}$

Answer 2

QUESTION:

solve for X:(5x-3)/(5x+3)= 11/14.x=

ANSWER:

$\frac{(5x - 3)}{(5x + 3)} = \frac{11}{14}$

$\red {(cross \: multiplication)}$

$14 \times (5x - 3) = 11(5x + 3)$

$\green {(solving \: lhs \: and \: rhs \: side)}$

$70x - 42 = 55x + 33$

$\orange{(moving \: constant \: and \: variable \: each \: side)}$

$70x - 55x = 33 + 42$

$\blue {(solving \: both \: sides)}$

$15x = 75$

so,

$x = \frac{75}{15} \\ x = 5$

FINAL ANSWER:

$\huge\pink {x = 5}$