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Alona [7]
3 years ago
7

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

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
5 0

Answer:

<h3>\boxed{ \bold{ \mathsf{ \purple{x  =  - 13}}}}</h3>

Step-by-step 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 \times ( - 13) - 3 \times ( - 13) + 5}

\mathsf{ - 26 + 39 + 5}

\mathsf{ = 13  + 5}

= 18

Thus, LHS = RHS

hope I helped!

Best regards!

PSYCHO15rus [73]3 years ago
3 0

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

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.

\frac{-x}{-1} = \frac{13}{-1} \\x = -13

Answer : \boxed {x = -13}

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

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

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