3+(x-1)=4-(3x+10)

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Solution for 3+(x-1)=4-(3x+10) equation:


Simplifying
3 + (x + -1) = 4 + -1(3x + 10)

Reorder the terms:
3 + (-1 + x) = 4 + -1(3x + 10)

Remove parenthesis around (-1 + x)
3 + -1 + x = 4 + -1(3x + 10)

Combine like terms: 3 + -1 = 2
2 + x = 4 + -1(3x + 10)

Reorder the terms:
2 + x = 4 + -1(10 + 3x)
2 + x = 4 + (10 * -1 + 3x * -1)
2 + x = 4 + (-10 + -3x)

Combine like terms: 4 + -10 = -6
2 + x = -6 + -3x

Solving
2 + x = -6 + -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.
2 + x + 3x = -6 + -3x + 3x

Combine like terms: x + 3x = 4x
2 + 4x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 4x = -6 + 0
2 + 4x = -6

Add '-2' to each side of the equation.
2 + -2 + 4x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -6 + -2
4x = -6 + -2

Combine like terms: -6 + -2 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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