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

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Solution for 3(6x-2)+4(1-5x)=x equation:


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

Reorder the terms:
3(-2 + 6x) + 4(1 + -5x) = x
(-2 * 3 + 6x * 3) + 4(1 + -5x) = x
(-6 + 18x) + 4(1 + -5x) = x
-6 + 18x + (1 * 4 + -5x * 4) = x
-6 + 18x + (4 + -20x) = x

Reorder the terms:
-6 + 4 + 18x + -20x = x

Combine like terms: -6 + 4 = -2
-2 + 18x + -20x = x

Combine like terms: 18x + -20x = -2x
-2 + -2x = x

Solving
-2 + -2x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + -2x + -1x = x + -1x

Combine like terms: -2x + -1x = -3x
-2 + -3x = x + -1x

Combine like terms: x + -1x = 0
-2 + -3x = 0

Add '2' to each side of the equation.
-2 + 2 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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