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

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


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

Reorder the terms:
2(4 + 3x) + -3(x + -2) = 11
(4 * 2 + 3x * 2) + -3(x + -2) = 11
(8 + 6x) + -3(x + -2) = 11

Reorder the terms:
8 + 6x + -3(-2 + x) = 11
8 + 6x + (-2 * -3 + x * -3) = 11
8 + 6x + (6 + -3x) = 11

Reorder the terms:
8 + 6 + 6x + -3x = 11

Combine like terms: 8 + 6 = 14
14 + 6x + -3x = 11

Combine like terms: 6x + -3x = 3x
14 + 3x = 11

Solving
14 + 3x = 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 + 3x = 11 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 11 + -14
3x = 11 + -14

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

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

Simplifying
x = -1

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