27-4x=8(3-x)+5x

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Solution for 27-4x=8(3-x)+5x equation:


Simplifying
27 + -4x = 8(3 + -1x) + 5x
27 + -4x = (3 * 8 + -1x * 8) + 5x
27 + -4x = (24 + -8x) + 5x

Combine like terms: -8x + 5x = -3x
27 + -4x = 24 + -3x

Solving
27 + -4x = 24 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
27 + -4x + 3x = 24 + -3x + 3x

Combine like terms: -4x + 3x = -1x
27 + -1x = 24 + -3x + 3x

Combine like terms: -3x + 3x = 0
27 + -1x = 24 + 0
27 + -1x = 24

Add '-27' to each side of the equation.
27 + -27 + -1x = 24 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 24 + -27
-1x = 24 + -27

Combine like terms: 24 + -27 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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