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

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


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

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

Solving
-4 + 14x = 6 + 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 + 14x + -9x = 6 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
-4 + 5x = 6 + 0
-4 + 5x = 6

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

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

Combine like terms: 6 + 4 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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