27(13-18x)-54=2x-11

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Solution for 27(13-18x)-54=2x-11 equation:


Simplifying
27(13 + -18x) + -54 = 2x + -11
(13 * 27 + -18x * 27) + -54 = 2x + -11
(351 + -486x) + -54 = 2x + -11

Reorder the terms:
351 + -54 + -486x = 2x + -11

Combine like terms: 351 + -54 = 297
297 + -486x = 2x + -11

Reorder the terms:
297 + -486x = -11 + 2x

Solving
297 + -486x = -11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
297 + -486x + -2x = -11 + 2x + -2x

Combine like terms: -486x + -2x = -488x
297 + -488x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
297 + -488x = -11 + 0
297 + -488x = -11

Add '-297' to each side of the equation.
297 + -297 + -488x = -11 + -297

Combine like terms: 297 + -297 = 0
0 + -488x = -11 + -297
-488x = -11 + -297

Combine like terms: -11 + -297 = -308
-488x = -308

Divide each side by '-488'.
x = 0.631147541

Simplifying
x = 0.631147541

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