7(6x+8)=16-(6x+8)

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Solution for 7(6x+8)=16-(6x+8) equation:


Simplifying
7(6x + 8) = 16 + -1(6x + 8)

Reorder the terms:
7(8 + 6x) = 16 + -1(6x + 8)
(8 * 7 + 6x * 7) = 16 + -1(6x + 8)
(56 + 42x) = 16 + -1(6x + 8)

Reorder the terms:
56 + 42x = 16 + -1(8 + 6x)
56 + 42x = 16 + (8 * -1 + 6x * -1)
56 + 42x = 16 + (-8 + -6x)

Combine like terms: 16 + -8 = 8
56 + 42x = 8 + -6x

Solving
56 + 42x = 8 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
56 + 42x + 6x = 8 + -6x + 6x

Combine like terms: 42x + 6x = 48x
56 + 48x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
56 + 48x = 8 + 0
56 + 48x = 8

Add '-56' to each side of the equation.
56 + -56 + 48x = 8 + -56

Combine like terms: 56 + -56 = 0
0 + 48x = 8 + -56
48x = 8 + -56

Combine like terms: 8 + -56 = -48
48x = -48

Divide each side by '48'.
x = -1

Simplifying
x = -1

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