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

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


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

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

Reorder the terms:
3 + -2x = 4 + -3 + 4x + 3x

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

Combine like terms: 4x + 3x = 7x
3 + -2x = 1 + 7x

Solving
3 + -2x = 1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + -2x + -7x = 1 + 7x + -7x

Combine like terms: -2x + -7x = -9x
3 + -9x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -9x = 1 + 0
3 + -9x = 1

Add '-3' to each side of the equation.
3 + -3 + -9x = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -9x = 1 + -3
-9x = 1 + -3

Combine like terms: 1 + -3 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222

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