2(4x+5)=5(x-6)-10

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Solution for 2(4x+5)=5(x-6)-10 equation:


Simplifying
2(4x + 5) = 5(x + -6) + -10

Reorder the terms:
2(5 + 4x) = 5(x + -6) + -10
(5 * 2 + 4x * 2) = 5(x + -6) + -10
(10 + 8x) = 5(x + -6) + -10

Reorder the terms:
10 + 8x = 5(-6 + x) + -10
10 + 8x = (-6 * 5 + x * 5) + -10
10 + 8x = (-30 + 5x) + -10

Reorder the terms:
10 + 8x = -30 + -10 + 5x

Combine like terms: -30 + -10 = -40
10 + 8x = -40 + 5x

Solving
10 + 8x = -40 + 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 + 8x + -5x = -40 + 5x + -5x

Combine like terms: 8x + -5x = 3x
10 + 3x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + 3x = -40 + 0
10 + 3x = -40

Add '-10' to each side of the equation.
10 + -10 + 3x = -40 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = -40 + -10
3x = -40 + -10

Combine like terms: -40 + -10 = -50
3x = -50

Divide each side by '3'.
x = -16.66666667

Simplifying
x = -16.66666667

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