6(x+4)+6=10-4(x-4)

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Solution for 6(x+4)+6=10-4(x-4) equation: 


Simplifying
6(x + 4) + 6 = 10 + -4(x + -4)

Reorder the terms:
6(4 + x) + 6 = 10 + -4(x + -4)
(4 * 6 + x * 6) + 6 = 10 + -4(x + -4)
(24 + 6x) + 6 = 10 + -4(x + -4)

Reorder the terms:
24 + 6 + 6x = 10 + -4(x + -4)

Combine like terms: 24 + 6 = 30
30 + 6x = 10 + -4(x + -4)

Reorder the terms:
30 + 6x = 10 + -4(-4 + x)
30 + 6x = 10 + (-4 * -4 + x * -4)
30 + 6x = 10 + (16 + -4x)

Combine like terms: 10 + 16 = 26
30 + 6x = 26 + -4x

Solving
30 + 6x = 26 + -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.
30 + 6x + 4x = 26 + -4x + 4x

Combine like terms: 6x + 4x = 10x
30 + 10x = 26 + -4x + 4x

Combine like terms: -4x + 4x = 0
30 + 10x = 26 + 0
30 + 10x = 26

Add '-30' to each side of the equation.
30 + -30 + 10x = 26 + -30

Combine like terms: 30 + -30 = 0
0 + 10x = 26 + -30
10x = 26 + -30

Combine like terms: 26 + -30 = -4
10x = -4

Divide each side by '10'.
x = -0.4

Simplifying
x = -0.4

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