2(x+1)-3(x-4)=11

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Solution for 2(x+1)-3(x-4)=11 equation: 


Simplifying
2(x + 1) + -3(x + -4) = 11

Reorder the terms:
2(1 + x) + -3(x + -4) = 11
(1 * 2 + x * 2) + -3(x + -4) = 11
(2 + 2x) + -3(x + -4) = 11

Reorder the terms:
2 + 2x + -3(-4 + x) = 11
2 + 2x + (-4 * -3 + x * -3) = 11
2 + 2x + (12 + -3x) = 11

Reorder the terms:
2 + 12 + 2x + -3x = 11

Combine like terms: 2 + 12 = 14
14 + 2x + -3x = 11

Combine like terms: 2x + -3x = -1x
14 + -1x = 11

Solving
14 + -1x = 11

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 11 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 11 + -14
-1x = 11 + -14

Combine like terms: 11 + -14 = -3
-1x = -3

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

Simplifying
x = 3

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