3(3x+1)=7(2x+4)

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Solution for 3(3x+1)=7(2x+4) equation:


Simplifying
3(3x + 1) = 7(2x + 4)

Reorder the terms:
3(1 + 3x) = 7(2x + 4)
(1 * 3 + 3x * 3) = 7(2x + 4)
(3 + 9x) = 7(2x + 4)

Reorder the terms:
3 + 9x = 7(4 + 2x)
3 + 9x = (4 * 7 + 2x * 7)
3 + 9x = (28 + 14x)

Solving
3 + 9x = 28 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
3 + 9x + -14x = 28 + 14x + -14x

Combine like terms: 9x + -14x = -5x
3 + -5x = 28 + 14x + -14x

Combine like terms: 14x + -14x = 0
3 + -5x = 28 + 0
3 + -5x = 28

Add '-3' to each side of the equation.
3 + -3 + -5x = 28 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 28 + -3
-5x = 28 + -3

Combine like terms: 28 + -3 = 25
-5x = 25

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

Simplifying
x = -5

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