4+2(x+4)=4(x-1)

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Solution for 4+2(x+4)=4(x-1) equation:


Simplifying
4 + 2(x + 4) = 4(x + -1)

Reorder the terms:
4 + 2(4 + x) = 4(x + -1)
4 + (4 * 2 + x * 2) = 4(x + -1)
4 + (8 + 2x) = 4(x + -1)

Combine like terms: 4 + 8 = 12
12 + 2x = 4(x + -1)

Reorder the terms:
12 + 2x = 4(-1 + x)
12 + 2x = (-1 * 4 + x * 4)
12 + 2x = (-4 + 4x)

Solving
12 + 2x = -4 + 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.
12 + 2x + -4x = -4 + 4x + -4x

Combine like terms: 2x + -4x = -2x
12 + -2x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -2x = -4 + 0
12 + -2x = -4

Add '-12' to each side of the equation.
12 + -12 + -2x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -4 + -12
-2x = -4 + -12

Combine like terms: -4 + -12 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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