x*5-79=x*2-10

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Solution for x*5-79=x*2-10 equation:


Simplifying
x * 5 + -79 = x * 2 + -10

Reorder the terms for easier multiplication:
5x + -79 = x * 2 + -10

Reorder the terms:
-79 + 5x = x * 2 + -10

Reorder the terms for easier multiplication:
-79 + 5x = 2x + -10

Reorder the terms:
-79 + 5x = -10 + 2x

Solving
-79 + 5x = -10 + 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.
-79 + 5x + -2x = -10 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-79 + 3x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-79 + 3x = -10 + 0
-79 + 3x = -10

Add '79' to each side of the equation.
-79 + 79 + 3x = -10 + 79

Combine like terms: -79 + 79 = 0
0 + 3x = -10 + 79
3x = -10 + 79

Combine like terms: -10 + 79 = 69
3x = 69

Divide each side by '3'.
x = 23

Simplifying
x = 23

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