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

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


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

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

Combine like terms: 4x + -2x = 2x
2 + 2x = 5 + -2(1 + 4x)
2 + 2x = 5 + (1 * -2 + 4x * -2)
2 + 2x = 5 + (-2 + -8x)

Combine like terms: 5 + -2 = 3
2 + 2x = 3 + -8x

Solving
2 + 2x = 3 + -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.
2 + 2x + 8x = 3 + -8x + 8x

Combine like terms: 2x + 8x = 10x
2 + 10x = 3 + -8x + 8x

Combine like terms: -8x + 8x = 0
2 + 10x = 3 + 0
2 + 10x = 3

Add '-2' to each side of the equation.
2 + -2 + 10x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 10x = 3 + -2
10x = 3 + -2

Combine like terms: 3 + -2 = 1
10x = 1

Divide each side by '10'.
x = 0.1

Simplifying
x = 0.1

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