3x+1=2(2-x)

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Solution for 3x+1=2(2-x) equation:


Simplifying
3x + 1 = 2(2 + -1x)

Reorder the terms:
1 + 3x = 2(2 + -1x)
1 + 3x = (2 * 2 + -1x * 2)
1 + 3x = (4 + -2x)

Solving
1 + 3x = 4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
1 + 3x + 2x = 4 + -2x + 2x

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

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 4 + -1

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

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

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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