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

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


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

Reorder the terms:
-2(5 + 3x) + 5(-2 + 4x) = 8
(5 * -2 + 3x * -2) + 5(-2 + 4x) = 8
(-10 + -6x) + 5(-2 + 4x) = 8
-10 + -6x + (-2 * 5 + 4x * 5) = 8
-10 + -6x + (-10 + 20x) = 8

Reorder the terms:
-10 + -10 + -6x + 20x = 8

Combine like terms: -10 + -10 = -20
-20 + -6x + 20x = 8

Combine like terms: -6x + 20x = 14x
-20 + 14x = 8

Solving
-20 + 14x = 8

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 14x = 8 + 20

Combine like terms: -20 + 20 = 0
0 + 14x = 8 + 20
14x = 8 + 20

Combine like terms: 8 + 20 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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