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

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


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

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

Reorder the terms:
-2 + 7x = 3(5 + 2x)
-2 + 7x = (5 * 3 + 2x * 3)
-2 + 7x = (15 + 6x)

Solving
-2 + 7x = 15 + 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 = 15 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-2 + 1x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 1x = 15 + 0
-2 + 1x = 15

Add '2' to each side of the equation.
-2 + 2 + 1x = 15 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 15 + 2
1x = 15 + 2

Combine like terms: 15 + 2 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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