1x-120=16x+45

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Solution for 1x-120=16x+45 equation:


Simplifying
1x + -120 = 16x + 45

Reorder the terms:
-120 + 1x = 16x + 45

Reorder the terms:
-120 + 1x = 45 + 16x

Solving
-120 + 1x = 45 + 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.
-120 + 1x + -16x = 45 + 16x + -16x

Combine like terms: 1x + -16x = -15x
-120 + -15x = 45 + 16x + -16x

Combine like terms: 16x + -16x = 0
-120 + -15x = 45 + 0
-120 + -15x = 45

Add '120' to each side of the equation.
-120 + 120 + -15x = 45 + 120

Combine like terms: -120 + 120 = 0
0 + -15x = 45 + 120
-15x = 45 + 120

Combine like terms: 45 + 120 = 165
-15x = 165

Divide each side by '-15'.
x = -11

Simplifying
x = -11

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