3(x+3)-(6x-5)=2x+14

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Solution for 3(x+3)-(6x-5)=2x+14 equation:


Simplifying
3(x + 3) + -1(6x + -5) = 2x + 14

Reorder the terms:
3(3 + x) + -1(6x + -5) = 2x + 14
(3 * 3 + x * 3) + -1(6x + -5) = 2x + 14
(9 + 3x) + -1(6x + -5) = 2x + 14

Reorder the terms:
9 + 3x + -1(-5 + 6x) = 2x + 14
9 + 3x + (-5 * -1 + 6x * -1) = 2x + 14
9 + 3x + (5 + -6x) = 2x + 14

Reorder the terms:
9 + 5 + 3x + -6x = 2x + 14

Combine like terms: 9 + 5 = 14
14 + 3x + -6x = 2x + 14

Combine like terms: 3x + -6x = -3x
14 + -3x = 2x + 14

Reorder the terms:
14 + -3x = 14 + 2x

Add '-14' to each side of the equation.
14 + -14 + -3x = 14 + -14 + 2x

Combine like terms: 14 + -14 = 0
0 + -3x = 14 + -14 + 2x
-3x = 14 + -14 + 2x

Combine like terms: 14 + -14 = 0
-3x = 0 + 2x
-3x = 2x

Solving
-3x = 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.
-3x + -2x = 2x + -2x

Combine like terms: -3x + -2x = -5x
-5x = 2x + -2x

Combine like terms: 2x + -2x = 0
-5x = 0

Divide each side by '-5'.
x = 0

Simplifying
x = 0

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