2x=5(x-4)-10

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Solution for 2x=5(x-4)-10 equation:


Simplifying
2x = 5(x + -4) + -10

Reorder the terms:
2x = 5(-4 + x) + -10
2x = (-4 * 5 + x * 5) + -10
2x = (-20 + 5x) + -10

Reorder the terms:
2x = -20 + -10 + 5x

Combine like terms: -20 + -10 = -30
2x = -30 + 5x

Solving
2x = -30 + 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.
2x + -5x = -30 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-3x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3x = -30 + 0
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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