16-46=3(x-2)-9

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Solution for 16-46=3(x-2)-9 equation:


Simplifying
16 + -46 = 3(x + -2) + -9

Combine like terms: 16 + -46 = -30
-30 = 3(x + -2) + -9

Reorder the terms:
-30 = 3(-2 + x) + -9
-30 = (-2 * 3 + x * 3) + -9
-30 = (-6 + 3x) + -9

Reorder the terms:
-30 = -6 + -9 + 3x

Combine like terms: -6 + -9 = -15
-30 = -15 + 3x

Solving
-30 = -15 + 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.
-30 + -3x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + -3x = -15 + 0
-30 + -3x = -15

Add '30' to each side of the equation.
-30 + 30 + -3x = -15 + 30

Combine like terms: -30 + 30 = 0
0 + -3x = -15 + 30
-3x = -15 + 30

Combine like terms: -15 + 30 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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