5x+2=3(7x-2)

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Solution for 5x+2=3(7x-2) equation:


Simplifying
5x + 2 = 3(7x + -2)

Reorder the terms:
2 + 5x = 3(7x + -2)

Reorder the terms:
2 + 5x = 3(-2 + 7x)
2 + 5x = (-2 * 3 + 7x * 3)
2 + 5x = (-6 + 21x)

Solving
2 + 5x = -6 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
2 + 5x + -21x = -6 + 21x + -21x

Combine like terms: 5x + -21x = -16x
2 + -16x = -6 + 21x + -21x

Combine like terms: 21x + -21x = 0
2 + -16x = -6 + 0
2 + -16x = -6

Add '-2' to each side of the equation.
2 + -2 + -16x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -16x = -6 + -2
-16x = -6 + -2

Combine like terms: -6 + -2 = -8
-16x = -8

Divide each side by '-16'.
x = 0.5

Simplifying
x = 0.5

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