27-5(9-3x)=2(9-x)-8x

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Solution for 27-5(9-3x)=2(9-x)-8x equation:


Simplifying
27 + -5(9 + -3x) = 2(9 + -1x) + -8x
27 + (9 * -5 + -3x * -5) = 2(9 + -1x) + -8x
27 + (-45 + 15x) = 2(9 + -1x) + -8x

Combine like terms: 27 + -45 = -18
-18 + 15x = 2(9 + -1x) + -8x
-18 + 15x = (9 * 2 + -1x * 2) + -8x
-18 + 15x = (18 + -2x) + -8x

Combine like terms: -2x + -8x = -10x
-18 + 15x = 18 + -10x

Solving
-18 + 15x = 18 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-18 + 15x + 10x = 18 + -10x + 10x

Combine like terms: 15x + 10x = 25x
-18 + 25x = 18 + -10x + 10x

Combine like terms: -10x + 10x = 0
-18 + 25x = 18 + 0
-18 + 25x = 18

Add '18' to each side of the equation.
-18 + 18 + 25x = 18 + 18

Combine like terms: -18 + 18 = 0
0 + 25x = 18 + 18
25x = 18 + 18

Combine like terms: 18 + 18 = 36
25x = 36

Divide each side by '25'.
x = 1.44

Simplifying
x = 1.44

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