2(x-3)+16=2(2x+9)

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Solution for 2(x-3)+16=2(2x+9) equation:


Simplifying
2(x + -3) + 16 = 2(2x + 9)

Reorder the terms:
2(-3 + x) + 16 = 2(2x + 9)
(-3 * 2 + x * 2) + 16 = 2(2x + 9)
(-6 + 2x) + 16 = 2(2x + 9)

Reorder the terms:
-6 + 16 + 2x = 2(2x + 9)

Combine like terms: -6 + 16 = 10
10 + 2x = 2(2x + 9)

Reorder the terms:
10 + 2x = 2(9 + 2x)
10 + 2x = (9 * 2 + 2x * 2)
10 + 2x = (18 + 4x)

Solving
10 + 2x = 18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 2x + -4x = 18 + 4x + -4x

Combine like terms: 2x + -4x = -2x
10 + -2x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -2x = 18 + 0
10 + -2x = 18

Add '-10' to each side of the equation.
10 + -10 + -2x = 18 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 18 + -10
-2x = 18 + -10

Combine like terms: 18 + -10 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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