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

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


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

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

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

Combine like terms: 5x + -2x = 3x
-3 + 3x = -4(2x + -4x)

Combine like terms: 2x + -4x = -2x
-3 + 3x = -4(-2x)

Remove parenthesis around (-2x)
-3 + 3x = -4 * -2x

Multiply -4 * -2
-3 + 3x = 8x

Solving
-3 + 3x = 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.
-3 + 3x + -8x = 8x + -8x

Combine like terms: 3x + -8x = -5x
-3 + -5x = 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -5x = 0

Add '3' to each side of the equation.
-3 + 3 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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