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

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


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

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

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

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

Combine like terms: x + 9x = 10x
14 + 6x = -6 + 10x

Solving
14 + 6x = -6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
14 + 6x + -10x = -6 + 10x + -10x

Combine like terms: 6x + -10x = -4x
14 + -4x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
14 + -4x = -6 + 0
14 + -4x = -6

Add '-14' to each side of the equation.
14 + -14 + -4x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -6 + -14
-4x = -6 + -14

Combine like terms: -6 + -14 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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