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

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


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

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

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

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

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

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

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

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

Solving
6 + 1x = 3

Solving for variable 'x'.

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

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

Combine like terms: 6 + -6 = 0
0 + 1x = 3 + -6
1x = 3 + -6

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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