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

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


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

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

Reorder the terms:
2 + 5x + -6x = 4(x + -6)

Combine like terms: 5x + -6x = -1x
2 + -1x = 4(x + -6)

Reorder the terms:
2 + -1x = 4(-6 + x)
2 + -1x = (-6 * 4 + x * 4)
2 + -1x = (-24 + 4x)

Solving
2 + -1x = -24 + 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.
2 + -1x + -4x = -24 + 4x + -4x

Combine like terms: -1x + -4x = -5x
2 + -5x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -5x = -24 + 0
2 + -5x = -24

Add '-2' to each side of the equation.
2 + -2 + -5x = -24 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -24 + -2
-5x = -24 + -2

Combine like terms: -24 + -2 = -26
-5x = -26

Divide each side by '-5'.
x = 5.2

Simplifying
x = 5.2

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