2x+4=4(x-5)

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


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

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

Reorder the terms:
4 + 2x = 4(-5 + x)
4 + 2x = (-5 * 4 + x * 4)
4 + 2x = (-20 + 4x)

Solving
4 + 2x = -20 + 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.
4 + 2x + -4x = -20 + 4x + -4x

Combine like terms: 2x + -4x = -2x
4 + -2x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -2x = -20 + 0
4 + -2x = -20

Add '-4' to each side of the equation.
4 + -4 + -2x = -20 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -20 + -4
-2x = -20 + -4

Combine like terms: -20 + -4 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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