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

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


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

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

Solving
2 + 2x = 5 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
2 + 2x + 10x = 5 + -10x + 10x

Combine like terms: 2x + 10x = 12x
2 + 12x = 5 + -10x + 10x

Combine like terms: -10x + 10x = 0
2 + 12x = 5 + 0
2 + 12x = 5

Add '-2' to each side of the equation.
2 + -2 + 12x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 12x = 5 + -2
12x = 5 + -2

Combine like terms: 5 + -2 = 3
12x = 3

Divide each side by '12'.
x = 0.25

Simplifying
x = 0.25

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