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

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


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

Remove parenthesis around (-4x)
4 + -6x = 5 + -2 * -4x

Multiply -2 * -4
4 + -6x = 5 + 8x

Solving
4 + -6x = 5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + -6x + -8x = 5 + 8x + -8x

Combine like terms: -6x + -8x = -14x
4 + -14x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -14x = 5 + 0
4 + -14x = 5

Add '-4' to each side of the equation.
4 + -4 + -14x = 5 + -4

Combine like terms: 4 + -4 = 0
0 + -14x = 5 + -4
-14x = 5 + -4

Combine like terms: 5 + -4 = 1
-14x = 1

Divide each side by '-14'.
x = -0.07142857143

Simplifying
x = -0.07142857143

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