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

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


Simplifying
3(x + -2) = -5(x + 3) + 27

Reorder the terms:
3(-2 + x) = -5(x + 3) + 27
(-2 * 3 + x * 3) = -5(x + 3) + 27
(-6 + 3x) = -5(x + 3) + 27

Reorder the terms:
-6 + 3x = -5(3 + x) + 27
-6 + 3x = (3 * -5 + x * -5) + 27
-6 + 3x = (-15 + -5x) + 27

Reorder the terms:
-6 + 3x = -15 + 27 + -5x

Combine like terms: -15 + 27 = 12
-6 + 3x = 12 + -5x

Solving
-6 + 3x = 12 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-6 + 3x + 5x = 12 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-6 + 8x = 12 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 8x = 12 + 0
-6 + 8x = 12

Add '6' to each side of the equation.
-6 + 6 + 8x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 12 + 6
8x = 12 + 6

Combine like terms: 12 + 6 = 18
8x = 18

Divide each side by '8'.
x = 2.25

Simplifying
x = 2.25

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