2(x+1)-(x-4)=12

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Solution for 2(x+1)-(x-4)=12 equation:


Simplifying
2(x + 1) + -1(x + -4) = 12

Reorder the terms:
2(1 + x) + -1(x + -4) = 12
(1 * 2 + x * 2) + -1(x + -4) = 12
(2 + 2x) + -1(x + -4) = 12

Reorder the terms:
2 + 2x + -1(-4 + x) = 12
2 + 2x + (-4 * -1 + x * -1) = 12
2 + 2x + (4 + -1x) = 12

Reorder the terms:
2 + 4 + 2x + -1x = 12

Combine like terms: 2 + 4 = 6
6 + 2x + -1x = 12

Combine like terms: 2x + -1x = 1x
6 + 1x = 12

Solving
6 + 1x = 12

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 = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 12 + -6
1x = 12 + -6

Combine like terms: 12 + -6 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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