3x-10=5(x-10)

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Solution for 3x-10=5(x-10) equation:


Simplifying
3x + -10 = 5(x + -10)

Reorder the terms:
-10 + 3x = 5(x + -10)

Reorder the terms:
-10 + 3x = 5(-10 + x)
-10 + 3x = (-10 * 5 + x * 5)
-10 + 3x = (-50 + 5x)

Solving
-10 + 3x = -50 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 3x + -5x = -50 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-10 + -2x = -50 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -2x = -50 + 0
-10 + -2x = -50

Add '10' to each side of the equation.
-10 + 10 + -2x = -50 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -50 + 10
-2x = -50 + 10

Combine like terms: -50 + 10 = -40
-2x = -40

Divide each side by '-2'.
x = 20

Simplifying
x = 20

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