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

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


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

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

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

Combine like terms: 6x + 3x = 9x
4 + 2x = 21 + 9x

Solving
4 + 2x = 21 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
4 + 2x + -9x = 21 + 9x + -9x

Combine like terms: 2x + -9x = -7x
4 + -7x = 21 + 9x + -9x

Combine like terms: 9x + -9x = 0
4 + -7x = 21 + 0
4 + -7x = 21

Add '-4' to each side of the equation.
4 + -4 + -7x = 21 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 21 + -4
-7x = 21 + -4

Combine like terms: 21 + -4 = 17
-7x = 17

Divide each side by '-7'.
x = -2.428571429

Simplifying
x = -2.428571429

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