2x+5=5(x-6)

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Solution for 2x+5=5(x-6) equation:


Simplifying
2x + 5 = 5(x + -6)

Reorder the terms:
5 + 2x = 5(x + -6)

Reorder the terms:
5 + 2x = 5(-6 + x)
5 + 2x = (-6 * 5 + x * 5)
5 + 2x = (-30 + 5x)

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

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

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

Add '-5' to each side of the equation.
5 + -5 + -3x = -30 + -5

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

Combine like terms: -30 + -5 = -35
-3x = -35

Divide each side by '-3'.
x = 11.66666667

Simplifying
x = 11.66666667

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