2-3(x+6)=5x+54

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Solution for 2-3(x+6)=5x+54 equation:


Simplifying
2 + -3(x + 6) = 5x + 54

Reorder the terms:
2 + -3(6 + x) = 5x + 54
2 + (6 * -3 + x * -3) = 5x + 54
2 + (-18 + -3x) = 5x + 54

Combine like terms: 2 + -18 = -16
-16 + -3x = 5x + 54

Reorder the terms:
-16 + -3x = 54 + 5x

Solving
-16 + -3x = 54 + 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.
-16 + -3x + -5x = 54 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-16 + -8x = 54 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -8x = 54 + 0
-16 + -8x = 54

Add '16' to each side of the equation.
-16 + 16 + -8x = 54 + 16

Combine like terms: -16 + 16 = 0
0 + -8x = 54 + 16
-8x = 54 + 16

Combine like terms: 54 + 16 = 70
-8x = 70

Divide each side by '-8'.
x = -8.75

Simplifying
x = -8.75

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