16-46=3(x-5)-3

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Solution for 16-46=3(x-5)-3 equation:


Simplifying
16 + -46 = 3(x + -5) + -3

Combine like terms: 16 + -46 = -30
-30 = 3(x + -5) + -3

Reorder the terms:
-30 = 3(-5 + x) + -3
-30 = (-5 * 3 + x * 3) + -3
-30 = (-15 + 3x) + -3

Reorder the terms:
-30 = -15 + -3 + 3x

Combine like terms: -15 + -3 = -18
-30 = -18 + 3x

Solving
-30 = -18 + 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 = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + -3x = -18 + 0
-30 + -3x = -18

Add '30' to each side of the equation.
-30 + 30 + -3x = -18 + 30

Combine like terms: -30 + 30 = 0
0 + -3x = -18 + 30
-3x = -18 + 30

Combine like terms: -18 + 30 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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