2(3x-1)=4-(5x-8)

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Solution for 2(3x-1)=4-(5x-8) equation:


Simplifying
2(3x + -1) = 4 + -1(5x + -8)

Reorder the terms:
2(-1 + 3x) = 4 + -1(5x + -8)
(-1 * 2 + 3x * 2) = 4 + -1(5x + -8)
(-2 + 6x) = 4 + -1(5x + -8)

Reorder the terms:
-2 + 6x = 4 + -1(-8 + 5x)
-2 + 6x = 4 + (-8 * -1 + 5x * -1)
-2 + 6x = 4 + (8 + -5x)

Combine like terms: 4 + 8 = 12
-2 + 6x = 12 + -5x

Solving
-2 + 6x = 12 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2 + 6x + 5x = 12 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-2 + 11x = 12 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 11x = 12 + 0
-2 + 11x = 12

Add '2' to each side of the equation.
-2 + 2 + 11x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 11x = 12 + 2
11x = 12 + 2

Combine like terms: 12 + 2 = 14
11x = 14

Divide each side by '11'.
x = 1.272727273

Simplifying
x = 1.272727273

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