3(x+2)=2(2x-7)+9

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Solution for 3(x+2)=2(2x-7)+9 equation:


Simplifying
3(x + 2) = 2(2x + -7) + 9

Reorder the terms:
3(2 + x) = 2(2x + -7) + 9
(2 * 3 + x * 3) = 2(2x + -7) + 9
(6 + 3x) = 2(2x + -7) + 9

Reorder the terms:
6 + 3x = 2(-7 + 2x) + 9
6 + 3x = (-7 * 2 + 2x * 2) + 9
6 + 3x = (-14 + 4x) + 9

Reorder the terms:
6 + 3x = -14 + 9 + 4x

Combine like terms: -14 + 9 = -5
6 + 3x = -5 + 4x

Solving
6 + 3x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 3x + -4x = -5 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = -5 + 0
6 + -1x = -5

Add '-6' to each side of the equation.
6 + -6 + -1x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -5 + -6
-1x = -5 + -6

Combine like terms: -5 + -6 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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