x*5+18=x*2+75

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Solution for x*5+18=x*2+75 equation:


Simplifying
x * 5 + 18 = x * 2 + 75

Reorder the terms for easier multiplication:
5x + 18 = x * 2 + 75

Reorder the terms:
18 + 5x = x * 2 + 75

Reorder the terms for easier multiplication:
18 + 5x = 2x + 75

Reorder the terms:
18 + 5x = 75 + 2x

Solving
18 + 5x = 75 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18 + 5x + -2x = 75 + 2x + -2x

Combine like terms: 5x + -2x = 3x
18 + 3x = 75 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 3x = 75 + 0
18 + 3x = 75

Add '-18' to each side of the equation.
18 + -18 + 3x = 75 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = 75 + -18
3x = 75 + -18

Combine like terms: 75 + -18 = 57
3x = 57

Divide each side by '3'.
x = 19

Simplifying
x = 19

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