18-46=3(x-2)-7

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Solution for 18-46=3(x-2)-7 equation: 


Simplifying
18 + -46 = 3(x + -2) + -7

Combine like terms: 18 + -46 = -28
-28 = 3(x + -2) + -7

Reorder the terms:
-28 = 3(-2 + x) + -7
-28 = (-2 * 3 + x * 3) + -7
-28 = (-6 + 3x) + -7

Reorder the terms:
-28 = -6 + -7 + 3x

Combine like terms: -6 + -7 = -13
-28 = -13 + 3x

Solving
-28 = -13 + 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.
-28 + -3x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + -3x = -13 + 0
-28 + -3x = -13

Add '28' to each side of the equation.
-28 + 28 + -3x = -13 + 28

Combine like terms: -28 + 28 = 0
0 + -3x = -13 + 28
-3x = -13 + 28

Combine like terms: -13 + 28 = 15
-3x = 15

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

Simplifying
x = -5

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