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

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


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

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

Combine like terms: 5x + 2x = 7x
-2 + 7x = 4(x + 1)

Reorder the terms:
-2 + 7x = 4(1 + x)
-2 + 7x = (1 * 4 + x * 4)
-2 + 7x = (4 + 4x)

Solving
-2 + 7x = 4 + 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.
-2 + 7x + -4x = 4 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-2 + 3x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 3x = 4 + 0
-2 + 3x = 4

Add '2' to each side of the equation.
-2 + 2 + 3x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 4 + 2
3x = 4 + 2

Combine like terms: 4 + 2 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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