x*10-238=x*6-2

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Solution for x*10-238=x*6-2 equation:


Simplifying
x * 10 + -238 = x * 6 + -2

Reorder the terms for easier multiplication:
10x + -238 = x * 6 + -2

Reorder the terms:
-238 + 10x = x * 6 + -2

Reorder the terms for easier multiplication:
-238 + 10x = 6x + -2

Reorder the terms:
-238 + 10x = -2 + 6x

Solving
-238 + 10x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-238 + 10x + -6x = -2 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-238 + 4x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-238 + 4x = -2 + 0
-238 + 4x = -2

Add '238' to each side of the equation.
-238 + 238 + 4x = -2 + 238

Combine like terms: -238 + 238 = 0
0 + 4x = -2 + 238
4x = -2 + 238

Combine like terms: -2 + 238 = 236
4x = 236

Divide each side by '4'.
x = 59

Simplifying
x = 59

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