2(x+5)=4(x-9)

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Solution for 2(x+5)=4(x-9) equation: 


Simplifying
2(x + 5) = 4(x + -9)

Reorder the terms:
2(5 + x) = 4(x + -9)
(5 * 2 + x * 2) = 4(x + -9)
(10 + 2x) = 4(x + -9)

Reorder the terms:
10 + 2x = 4(-9 + x)
10 + 2x = (-9 * 4 + x * 4)
10 + 2x = (-36 + 4x)

Solving
10 + 2x = -36 + 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 = -36 + 4x + -4x

Combine like terms: 2x + -4x = -2x
10 + -2x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -2x = -36 + 0
10 + -2x = -36

Add '-10' to each side of the equation.
10 + -10 + -2x = -36 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -36 + -10
-2x = -36 + -10

Combine like terms: -36 + -10 = -46
-2x = -46

Divide each side by '-2'.
x = 23

Simplifying
x = 23

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