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

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


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

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

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

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

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

Solving
4 + -1x = 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.
4 + -1x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
4 + -4x = 2 + 0
4 + -4x = 2

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

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

Combine like terms: 2 + -4 = -2
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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