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

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


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

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

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

Solving
-2 + 7x = 21 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 7x + -6x = 21 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-2 + 1x = 21 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 1x = 21 + 0
-2 + 1x = 21

Add '2' to each side of the equation.
-2 + 2 + 1x = 21 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 21 + 2
1x = 21 + 2

Combine like terms: 21 + 2 = 23
1x = 23

Divide each side by '1'.
x = 23

Simplifying
x = 23

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