3(x-12)-5=16x-93

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Solution for 3(x-12)-5=16x-93 equation:


Simplifying
3(x + -12) + -5 = 16x + -93

Reorder the terms:
3(-12 + x) + -5 = 16x + -93
(-12 * 3 + x * 3) + -5 = 16x + -93
(-36 + 3x) + -5 = 16x + -93

Reorder the terms:
-36 + -5 + 3x = 16x + -93

Combine like terms: -36 + -5 = -41
-41 + 3x = 16x + -93

Reorder the terms:
-41 + 3x = -93 + 16x

Solving
-41 + 3x = -93 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-41 + 3x + -16x = -93 + 16x + -16x

Combine like terms: 3x + -16x = -13x
-41 + -13x = -93 + 16x + -16x

Combine like terms: 16x + -16x = 0
-41 + -13x = -93 + 0
-41 + -13x = -93

Add '41' to each side of the equation.
-41 + 41 + -13x = -93 + 41

Combine like terms: -41 + 41 = 0
0 + -13x = -93 + 41
-13x = -93 + 41

Combine like terms: -93 + 41 = -52
-13x = -52

Divide each side by '-13'.
x = 4

Simplifying
x = 4

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