Question

9x-13 =11x+27 find and check the solution please​

Answer 1

Step-by-step explanation:

Simplifying

9x + -13 = 11x + 27

Reorder the terms:

-13 + 9x = 11x + 27

Reorder the terms:

-13 + 9x = 27 + 11x

Solving

-13 + 9x = 27 + 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.

-13 + 9x + -11x = 27 + 11x + -11x

Combine like terms: 9x + -11x = -2x

-13 + -2x = 27 + 11x + -11x

Combine like terms: 11x + -11x = 0

-13 + -2x = 27 + 0

-13 + -2x = 27

Add '13' to each side of the equation.

-13 + 13 + -2x = 27 + 13

Combine like terms: -13 + 13 = 0

0 + -2x = 27 + 13

-2x = 27 + 13

Combine like terms: 27 + 13 = 40

-2x = 40

Divide each side by '-2'.

x = -20

Simplifying

x = -20

Answer 2

Answer:

9x-13=11x+27

9x-11x= 27+13

-2x= 40

x= -20

check

LHS = 9(-20)-13

= -180-13

= -193

RHS= 11(-20)+27

= -220+27

= -193

this is the correct answer

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