Question

if x-6=2x/5, then find the value of 2x-7

Answer 1

Answer:

Step-by-step explanation:

We are given:

x–6 = 2x/5

To find:

2x–7

Solution:

x–6 = 2x/5

=> 5(x–6) = 2x

=> 5x–30 = 2x

=> 5x–2x = 30

=> 3x = 30

=> x = 30/3

=> x = 10

2x–7 => 2(10)–7

=> 20–7

=> 13

Answer = 13

Hope this helps you

Answer 2

$\red{\huge{\underline{\overline{\mid{\bold{\purple{\: \: SOLUTION \: \: \red{\mid}}}}}}}}$

$\underline{ \underline{ \bold{ \: \: Given \: \: : \: }}} \: \: \: \bold{x - 6 = \frac{2x}{5} } \\ \\ \\ \underline{ \underline{\bold{ \: \: To \: \: Find \: \: : }}} \: \: \: \bold{2x - 7 = ? }$

$\bold{x - 6 = \frac{2x}{5} } \\ \\ \bold{ = > 5(x - 6) = 2x \: \: \: \: \: \: \: \: \:[ By \: \: cross \: \: multiplication]} \\ \\ \bold{ = >5x - 30 = 2x} \\ \\ \bold{ = > 5x - 2x = 30} \\ \\ \bold{ = > 3x = 30} \\ \\ \bold{ = > x = \frac{30}{3} } \\ \\ \bold{ = > x = \boxed{ \bold{10}}}$

$\bold{ \: \: Now \:, } \\ \\ \underline{\bold{Putting \: \: the \: \: value \: \: of \: \: \underline{ \: x \: } \: ,\: we\: \: get \: \: }} \\ \\ \bold{2x - 7 = 2 \times (10) - 7} \\ \\ \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 - 7 } \\ \\ \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \boxed{ \bold{ 13}}}$

$\red{\huge{\underline{\overline{\mid{\bold{\purple{\: \:ANSWER \: \: \red{\mid}}}}}}}}$ ➡

$\boxed{\boxed{\huge{\bold{\pink{\: \: 2x-7=13 \: \: }}}}}$