5(x-10)=x-2

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Solution for 5(x-10)=x-2 equation:


Simplifying
5(x + -10) = x + -2

Reorder the terms:
5(-10 + x) = x + -2
(-10 * 5 + x * 5) = x + -2
(-50 + 5x) = x + -2

Reorder the terms:
-50 + 5x = -2 + x

Solving
-50 + 5x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-50 + 5x + -1x = -2 + x + -1x

Combine like terms: 5x + -1x = 4x
-50 + 4x = -2 + x + -1x

Combine like terms: x + -1x = 0
-50 + 4x = -2 + 0
-50 + 4x = -2

Add '50' to each side of the equation.
-50 + 50 + 4x = -2 + 50

Combine like terms: -50 + 50 = 0
0 + 4x = -2 + 50
4x = -2 + 50

Combine like terms: -2 + 50 = 48
4x = 48

Divide each side by '4'.
x = 12

Simplifying
x = 12

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