2(x-5)-4=6-4(4+x)

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Solution for 2(x-5)-4=6-4(4+x) equation:


Simplifying
2(x + -5) + -4 = 6 + -4(4 + x)

Reorder the terms:
2(-5 + x) + -4 = 6 + -4(4 + x)
(-5 * 2 + x * 2) + -4 = 6 + -4(4 + x)
(-10 + 2x) + -4 = 6 + -4(4 + x)

Reorder the terms:
-10 + -4 + 2x = 6 + -4(4 + x)

Combine like terms: -10 + -4 = -14
-14 + 2x = 6 + -4(4 + x)
-14 + 2x = 6 + (4 * -4 + x * -4)
-14 + 2x = 6 + (-16 + -4x)

Combine like terms: 6 + -16 = -10
-14 + 2x = -10 + -4x

Solving
-14 + 2x = -10 + -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.
-14 + 2x + 4x = -10 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-14 + 6x = -10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-14 + 6x = -10 + 0
-14 + 6x = -10

Add '14' to each side of the equation.
-14 + 14 + 6x = -10 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = -10 + 14
6x = -10 + 14

Combine like terms: -10 + 14 = 4
6x = 4

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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