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

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


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

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

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

Combine like terms: 4x + -4x = 0
-4 + 0 + -2x = 1 + -5(x + -2)
-4 + -2x = 1 + -5(x + -2)

Reorder the terms:
-4 + -2x = 1 + -5(-2 + x)
-4 + -2x = 1 + (-2 * -5 + x * -5)
-4 + -2x = 1 + (10 + -5x)

Combine like terms: 1 + 10 = 11
-4 + -2x = 11 + -5x

Solving
-4 + -2x = 11 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-4 + -2x + 5x = 11 + -5x + 5x

Combine like terms: -2x + 5x = 3x
-4 + 3x = 11 + -5x + 5x

Combine like terms: -5x + 5x = 0
-4 + 3x = 11 + 0
-4 + 3x = 11

Add '4' to each side of the equation.
-4 + 4 + 3x = 11 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 11 + 4
3x = 11 + 4

Combine like terms: 11 + 4 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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