3x+301-4x-33=108-16x-100

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Solution for 3x+301-4x-33=108-16x-100 equation:


Simplifying
3x + 301 + -4x + -33 = 108 + -16x + -100

Reorder the terms:
301 + -33 + 3x + -4x = 108 + -16x + -100

Combine like terms: 301 + -33 = 268
268 + 3x + -4x = 108 + -16x + -100

Combine like terms: 3x + -4x = -1x
268 + -1x = 108 + -16x + -100

Reorder the terms:
268 + -1x = 108 + -100 + -16x

Combine like terms: 108 + -100 = 8
268 + -1x = 8 + -16x

Solving
268 + -1x = 8 + -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.
268 + -1x + 16x = 8 + -16x + 16x

Combine like terms: -1x + 16x = 15x
268 + 15x = 8 + -16x + 16x

Combine like terms: -16x + 16x = 0
268 + 15x = 8 + 0
268 + 15x = 8

Add '-268' to each side of the equation.
268 + -268 + 15x = 8 + -268

Combine like terms: 268 + -268 = 0
0 + 15x = 8 + -268
15x = 8 + -268

Combine like terms: 8 + -268 = -260
15x = -260

Divide each side by '15'.
x = -17.33333333

Simplifying
x = -17.33333333

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