5x+3(6x-2)=4-(6x-4)

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Solution for 5x+3(6x-2)=4-(6x-4) equation:


Simplifying
5x + 3(6x + -2) = 4 + -1(6x + -4)

Reorder the terms:
5x + 3(-2 + 6x) = 4 + -1(6x + -4)
5x + (-2 * 3 + 6x * 3) = 4 + -1(6x + -4)
5x + (-6 + 18x) = 4 + -1(6x + -4)

Reorder the terms:
-6 + 5x + 18x = 4 + -1(6x + -4)

Combine like terms: 5x + 18x = 23x
-6 + 23x = 4 + -1(6x + -4)

Reorder the terms:
-6 + 23x = 4 + -1(-4 + 6x)
-6 + 23x = 4 + (-4 * -1 + 6x * -1)
-6 + 23x = 4 + (4 + -6x)

Combine like terms: 4 + 4 = 8
-6 + 23x = 8 + -6x

Solving
-6 + 23x = 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.
-6 + 23x + 6x = 8 + -6x + 6x

Combine like terms: 23x + 6x = 29x
-6 + 29x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 29x = 8 + 0
-6 + 29x = 8

Add '6' to each side of the equation.
-6 + 6 + 29x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 29x = 8 + 6
29x = 8 + 6

Combine like terms: 8 + 6 = 14
29x = 14

Divide each side by '29'.
x = 0.4827586207

Simplifying
x = 0.4827586207

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