6(x-12)-11=16x-203

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Solution for 6(x-12)-11=16x-203 equation:


Simplifying
6(x + -12) + -11 = 16x + -203

Reorder the terms:
6(-12 + x) + -11 = 16x + -203
(-12 * 6 + x * 6) + -11 = 16x + -203
(-72 + 6x) + -11 = 16x + -203

Reorder the terms:
-72 + -11 + 6x = 16x + -203

Combine like terms: -72 + -11 = -83
-83 + 6x = 16x + -203

Reorder the terms:
-83 + 6x = -203 + 16x

Solving
-83 + 6x = -203 + 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.
-83 + 6x + -16x = -203 + 16x + -16x

Combine like terms: 6x + -16x = -10x
-83 + -10x = -203 + 16x + -16x

Combine like terms: 16x + -16x = 0
-83 + -10x = -203 + 0
-83 + -10x = -203

Add '83' to each side of the equation.
-83 + 83 + -10x = -203 + 83

Combine like terms: -83 + 83 = 0
0 + -10x = -203 + 83
-10x = -203 + 83

Combine like terms: -203 + 83 = -120
-10x = -120

Divide each side by '-10'.
x = 12

Simplifying
x = 12

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