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

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


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

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

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

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

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

Solving
3 + 2x = -2 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
3 + -1x = -2 + 0
3 + -1x = -2

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

Combine like terms: 3 + -3 = 0
0 + -1x = -2 + -3
-1x = -2 + -3

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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