2(x-5)-9=11-4x

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Solution for 2(x-5)-9=11-4x equation:


Simplifying
2(x + -5) + -9 = 11 + -4x

Reorder the terms:
2(-5 + x) + -9 = 11 + -4x
(-5 * 2 + x * 2) + -9 = 11 + -4x
(-10 + 2x) + -9 = 11 + -4x

Reorder the terms:
-10 + -9 + 2x = 11 + -4x

Combine like terms: -10 + -9 = -19
-19 + 2x = 11 + -4x

Solving
-19 + 2x = 11 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-19 + 2x + 4x = 11 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-19 + 6x = 11 + -4x + 4x

Combine like terms: -4x + 4x = 0
-19 + 6x = 11 + 0
-19 + 6x = 11

Add '19' to each side of the equation.
-19 + 19 + 6x = 11 + 19

Combine like terms: -19 + 19 = 0
0 + 6x = 11 + 19
6x = 11 + 19

Combine like terms: 11 + 19 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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