2(x+16)=5(x-6)

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Solution for 2(x+16)=5(x-6) equation:


Simplifying
2(x + 16) = 5(x + -6)

Reorder the terms:
2(16 + x) = 5(x + -6)
(16 * 2 + x * 2) = 5(x + -6)
(32 + 2x) = 5(x + -6)

Reorder the terms:
32 + 2x = 5(-6 + x)
32 + 2x = (-6 * 5 + x * 5)
32 + 2x = (-30 + 5x)

Solving
32 + 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.
32 + 2x + -5x = -30 + 5x + -5x

Combine like terms: 2x + -5x = -3x
32 + -3x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + -3x = -30 + 0
32 + -3x = -30

Add '-32' to each side of the equation.
32 + -32 + -3x = -30 + -32

Combine like terms: 32 + -32 = 0
0 + -3x = -30 + -32
-3x = -30 + -32

Combine like terms: -30 + -32 = -62
-3x = -62

Divide each side by '-3'.
x = 20.66666667

Simplifying
x = 20.66666667

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