6x+4=3(9x+7)+2x

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Solution for 6x+4=3(9x+7)+2x equation:


Simplifying
6x + 4 = 3(9x + 7) + 2x

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

Reorder the terms:
4 + 6x = 3(7 + 9x) + 2x
4 + 6x = (7 * 3 + 9x * 3) + 2x
4 + 6x = (21 + 27x) + 2x

Combine like terms: 27x + 2x = 29x
4 + 6x = 21 + 29x

Solving
4 + 6x = 21 + 29x

Solving for variable 'x'.

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

Add '-29x' to each side of the equation.
4 + 6x + -29x = 21 + 29x + -29x

Combine like terms: 6x + -29x = -23x
4 + -23x = 21 + 29x + -29x

Combine like terms: 29x + -29x = 0
4 + -23x = 21 + 0
4 + -23x = 21

Add '-4' to each side of the equation.
4 + -4 + -23x = 21 + -4

Combine like terms: 4 + -4 = 0
0 + -23x = 21 + -4
-23x = 21 + -4

Combine like terms: 21 + -4 = 17
-23x = 17

Divide each side by '-23'.
x = -0.7391304348

Simplifying
x = -0.7391304348

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