3(x-3)-12=19x-85

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Solution for 3(x-3)-12=19x-85 equation:


Simplifying
3(x + -3) + -12 = 19x + -85

Reorder the terms:
3(-3 + x) + -12 = 19x + -85
(-3 * 3 + x * 3) + -12 = 19x + -85
(-9 + 3x) + -12 = 19x + -85

Reorder the terms:
-9 + -12 + 3x = 19x + -85

Combine like terms: -9 + -12 = -21
-21 + 3x = 19x + -85

Reorder the terms:
-21 + 3x = -85 + 19x

Solving
-21 + 3x = -85 + 19x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-19x' to each side of the equation.
-21 + 3x + -19x = -85 + 19x + -19x

Combine like terms: 3x + -19x = -16x
-21 + -16x = -85 + 19x + -19x

Combine like terms: 19x + -19x = 0
-21 + -16x = -85 + 0
-21 + -16x = -85

Add '21' to each side of the equation.
-21 + 21 + -16x = -85 + 21

Combine like terms: -21 + 21 = 0
0 + -16x = -85 + 21
-16x = -85 + 21

Combine like terms: -85 + 21 = -64
-16x = -64

Divide each side by '-16'.
x = 4

Simplifying
x = 4

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