x*13+11=x*3+291

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Solution for x*13+11=x*3+291 equation:


Simplifying
x * 13 + 11 = x * 3 + 291

Reorder the terms for easier multiplication:
13x + 11 = x * 3 + 291

Reorder the terms:
11 + 13x = x * 3 + 291

Reorder the terms for easier multiplication:
11 + 13x = 3x + 291

Reorder the terms:
11 + 13x = 291 + 3x

Solving
11 + 13x = 291 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + 13x + -3x = 291 + 3x + -3x

Combine like terms: 13x + -3x = 10x
11 + 10x = 291 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 10x = 291 + 0
11 + 10x = 291

Add '-11' to each side of the equation.
11 + -11 + 10x = 291 + -11

Combine like terms: 11 + -11 = 0
0 + 10x = 291 + -11
10x = 291 + -11

Combine like terms: 291 + -11 = 280
10x = 280

Divide each side by '10'.
x = 28

Simplifying
x = 28

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