6(7x+18)=(x+8)4

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Solution for 6(7x+18)=(x+8)4 equation:


Simplifying
6(7x + 18) = (x + 8) * 4

Reorder the terms:
6(18 + 7x) = (x + 8) * 4
(18 * 6 + 7x * 6) = (x + 8) * 4
(108 + 42x) = (x + 8) * 4

Reorder the terms:
108 + 42x = (8 + x) * 4

Reorder the terms for easier multiplication:
108 + 42x = 4(8 + x)
108 + 42x = (8 * 4 + x * 4)
108 + 42x = (32 + 4x)

Solving
108 + 42x = 32 + 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.
108 + 42x + -4x = 32 + 4x + -4x

Combine like terms: 42x + -4x = 38x
108 + 38x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
108 + 38x = 32 + 0
108 + 38x = 32

Add '-108' to each side of the equation.
108 + -108 + 38x = 32 + -108

Combine like terms: 108 + -108 = 0
0 + 38x = 32 + -108
38x = 32 + -108

Combine like terms: 32 + -108 = -76
38x = -76

Divide each side by '38'.
x = -2

Simplifying
x = -2

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