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

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


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

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

Remove parenthesis around (1 + 3x)
1 + 3x = 2 + -1(x + -4) + 3x

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

Combine like terms: 2 + 4 = 6
1 + 3x = 6 + -1x + 3x

Combine like terms: -1x + 3x = 2x
1 + 3x = 6 + 2x

Solving
1 + 3x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1 + 3x + -2x = 6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
1 + 1x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 1x = 6 + 0
1 + 1x = 6

Add '-1' to each side of the equation.
1 + -1 + 1x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 6 + -1
1x = 6 + -1

Combine like terms: 6 + -1 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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