Question

Solve equation show all steps what 2x-3x+5=18

Answer 1

`\boxed{ \bold{ \mathsf{ \purple{x = - 13}}}}`

Explanation:

`\mathsf{2x - 3x + 5 = 18}`

Collect like terms

`\mathsf{ - x + 5 = 18}`

Move constant to R.H.S and change it's sign

`\mathsf{ - x = 18 - 5}`

Calculate the difference

`- x = 13`

Change the signs on both sides of the equation

`\mathsf{x = - 13}`

---------------------------------------------------------------

`\blue{ \mathsf{verification}}`

`\mathsf{LHS \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: RHS}`

`\mathsf{2x - 3x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18}`

`\mathsf{ = 2 * ( - 13) - 3 * ( - 13) + 5}`

`\mathsf{ - 26 + 39 + 5}`

`\mathsf{ = 13 + 5}`

`= 18`

Thus, LHS = RHS

hope I helped!

Best regards!

Answer 2

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's solve your equation step-by-step.

`2x-3x+5=18`

Step 1: Simplify both sides of the equation.

`2x-3x+5=18\\2x + -3x + 5 = 18`

`( 2x + -3x ) + ( 5) = 18` (Combine Like Terms)

`-x + 5 = 18\\-x + 5 = 18`

Step 2: Subtract 5 from both sides.

`-x + 5 - 5 = 18 - 5 \\-x = 13`

Step 3: Divide both sides by -1.

`(-x)/(-1) = (13)/(-1) \\x = -13`

Answer :
`\boxed {x = -13}`

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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Have a great day/night!

❀*May*❀