x*5+11*2=x*3+36

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Solution for x*5+11*2=x*3+36 equation:


Simplifying
x * 5 + 11 * 2 = x * 3 + 36

Reorder the terms for easier multiplication:
5x + 11 * 2 = x * 3 + 36

Multiply 11 * 2
5x + 22 = x * 3 + 36

Reorder the terms:
22 + 5x = x * 3 + 36

Reorder the terms for easier multiplication:
22 + 5x = 3x + 36

Reorder the terms:
22 + 5x = 36 + 3x

Solving
22 + 5x = 36 + 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.
22 + 5x + -3x = 36 + 3x + -3x

Combine like terms: 5x + -3x = 2x
22 + 2x = 36 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + 2x = 36 + 0
22 + 2x = 36

Add '-22' to each side of the equation.
22 + -22 + 2x = 36 + -22

Combine like terms: 22 + -22 = 0
0 + 2x = 36 + -22
2x = 36 + -22

Combine like terms: 36 + -22 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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