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 = 7
2 + x = 7 + -4x

Solving
2 + x = 7 + -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 = 7 + -4x + 4x

Combine like terms: x + 4x = 5x
2 + 5x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 5x = 7 + 0
2 + 5x = 7

Add '-2' to each side of the equation.
2 + -2 + 5x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 7 + -2
5x = 7 + -2

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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