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

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


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

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

Reorder the terms:
-2 + 6x + 2(-5 + 4x) = 8
-2 + 6x + (-5 * 2 + 4x * 2) = 8
-2 + 6x + (-10 + 8x) = 8

Reorder the terms:
-2 + -10 + 6x + 8x = 8

Combine like terms: -2 + -10 = -12
-12 + 6x + 8x = 8

Combine like terms: 6x + 8x = 14x
-12 + 14x = 8

Solving
-12 + 14x = 8

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 14x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 14x = 8 + 12
14x = 8 + 12

Combine like terms: 8 + 12 = 20
14x = 20

Divide each side by '14'.
x = 1.428571429

Simplifying
x = 1.428571429

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