6*(5-3(x-4))=4x+18

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Solution for 6*(5-3(x-4))=4x+18 equation:


Simplifying
6(5 + -3(x + -4)) = 4x + 18

Reorder the terms:
6(5 + -3(-4 + x)) = 4x + 18
6(5 + (-4 * -3 + x * -3)) = 4x + 18
6(5 + (12 + -3x)) = 4x + 18

Combine like terms: 5 + 12 = 17
6(17 + -3x) = 4x + 18
(17 * 6 + -3x * 6) = 4x + 18
(102 + -18x) = 4x + 18

Reorder the terms:
102 + -18x = 18 + 4x

Solving
102 + -18x = 18 + 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.
102 + -18x + -4x = 18 + 4x + -4x

Combine like terms: -18x + -4x = -22x
102 + -22x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
102 + -22x = 18 + 0
102 + -22x = 18

Add '-102' to each side of the equation.
102 + -102 + -22x = 18 + -102

Combine like terms: 102 + -102 = 0
0 + -22x = 18 + -102
-22x = 18 + -102

Combine like terms: 18 + -102 = -84
-22x = -84

Divide each side by '-22'.
x = 3.818181818

Simplifying
x = 3.818181818

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