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

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


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

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

Remove parenthesis around (-1 + x)
3 + -1 + x = 4 + -1(-4x + 3)

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

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

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

Solving
2 + x = 1 + 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
2 + -3x = 1 + 0
2 + -3x = 1

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

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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