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

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


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

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

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

Combine like terms: 2x + -5x = -3x
4 + -3x = 4(-1x + 4)

Reorder the terms:
4 + -3x = 4(4 + -1x)
4 + -3x = (4 * 4 + -1x * 4)
4 + -3x = (16 + -4x)

Solving
4 + -3x = 16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
4 + -3x + 4x = 16 + -4x + 4x

Combine like terms: -3x + 4x = 1x
4 + 1x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
4 + 1x = 16 + 0
4 + 1x = 16

Add '-4' to each side of the equation.
4 + -4 + 1x = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 16 + -4
1x = 16 + -4

Combine like terms: 16 + -4 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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