3x+4-2x-1=5(1-x)+2

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Solution for 3x+4-2x-1=5(1-x)+2 equation:


Simplifying
3x + 4 + -2x + -1 = 5(1 + -1x) + 2

Reorder the terms:
4 + -1 + 3x + -2x = 5(1 + -1x) + 2

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

Combine like terms: 3x + -2x = 1x
3 + 1x = 5(1 + -1x) + 2
3 + 1x = (1 * 5 + -1x * 5) + 2
3 + 1x = (5 + -5x) + 2

Reorder the terms:
3 + 1x = 5 + 2 + -5x

Combine like terms: 5 + 2 = 7
3 + 1x = 7 + -5x

Solving
3 + 1x = 7 + -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.
3 + 1x + 5x = 7 + -5x + 5x

Combine like terms: 1x + 5x = 6x
3 + 6x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
3 + 6x = 7 + 0
3 + 6x = 7

Add '-3' to each side of the equation.
3 + -3 + 6x = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 7 + -3
6x = 7 + -3

Combine like terms: 7 + -3 = 4
6x = 4

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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