17-45=3(x-4)-4

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Solution for 17-45=3(x-4)-4 equation:


Simplifying
17 + -45 = 3(x + -4) + -4

Combine like terms: 17 + -45 = -28
-28 = 3(x + -4) + -4

Reorder the terms:
-28 = 3(-4 + x) + -4
-28 = (-4 * 3 + x * 3) + -4
-28 = (-12 + 3x) + -4

Reorder the terms:
-28 = -12 + -4 + 3x

Combine like terms: -12 + -4 = -16
-28 = -16 + 3x

Solving
-28 = -16 + 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 = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + -3x = -16 + 0
-28 + -3x = -16

Add '28' to each side of the equation.
-28 + 28 + -3x = -16 + 28

Combine like terms: -28 + 28 = 0
0 + -3x = -16 + 28
-3x = -16 + 28

Combine like terms: -16 + 28 = 12
-3x = 12

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

Simplifying
x = -4

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