x*11+28=x*5+142

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Solution for x*11+28=x*5+142 equation:


Simplifying
x * 11 + 28 = x * 5 + 142

Reorder the terms for easier multiplication:
11x + 28 = x * 5 + 142

Reorder the terms:
28 + 11x = x * 5 + 142

Reorder the terms for easier multiplication:
28 + 11x = 5x + 142

Reorder the terms:
28 + 11x = 142 + 5x

Solving
28 + 11x = 142 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
28 + 11x + -5x = 142 + 5x + -5x

Combine like terms: 11x + -5x = 6x
28 + 6x = 142 + 5x + -5x

Combine like terms: 5x + -5x = 0
28 + 6x = 142 + 0
28 + 6x = 142

Add '-28' to each side of the equation.
28 + -28 + 6x = 142 + -28

Combine like terms: 28 + -28 = 0
0 + 6x = 142 + -28
6x = 142 + -28

Combine like terms: 142 + -28 = 114
6x = 114

Divide each side by '6'.
x = 19

Simplifying
x = 19

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