3(5-x)-4(3x-2)=27

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Solution for 3(5-x)-4(3x-2)=27 equation: 


Simplifying
3(5 + -1x) + -4(3x + -2) = 27
(5 * 3 + -1x * 3) + -4(3x + -2) = 27
(15 + -3x) + -4(3x + -2) = 27

Reorder the terms:
15 + -3x + -4(-2 + 3x) = 27
15 + -3x + (-2 * -4 + 3x * -4) = 27
15 + -3x + (8 + -12x) = 27

Reorder the terms:
15 + 8 + -3x + -12x = 27

Combine like terms: 15 + 8 = 23
23 + -3x + -12x = 27

Combine like terms: -3x + -12x = -15x
23 + -15x = 27

Solving
23 + -15x = 27

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + -15x = 27 + -23

Combine like terms: 23 + -23 = 0
0 + -15x = 27 + -23
-15x = 27 + -23

Combine like terms: 27 + -23 = 4
-15x = 4

Divide each side by '-15'.
x = -0.2666666667

Simplifying
x = -0.2666666667

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