Question

-4x+1=2x-17 What is the solution for x ?

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}$

Step-by-step explanation:

$\sf{ - 4x + 1 = 2x - 17}$

Move 2x to left hand side and change it's sign

Similarly, move 1 to right hand side and change it's sign

$\dashrightarrow{ \sf{ - 4x - 2x = - 17 - 1}}$

Collect like terms

$\dashrightarrow{ \sf{ - 6x = - 17 - 1}}$

The negative integers are always added but posses the negative ( - ) sign

$\dashrightarrow{ \sf{ - 6x = - 18}}$

Divide both sides by -6

$\dashrightarrow{ \sf{ \frac{ - 6x}{ - 6} = \frac{ - 18}{ - 6}}}$

Calculate

$\dashrightarrow{ \sf{x = 3}}$

Hope I helped!

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