7x-2=5(x+2)

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


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

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

Reorder the terms:
-2 + 7x = 5(2 + x)
-2 + 7x = (2 * 5 + x * 5)
-2 + 7x = (10 + 5x)

Solving
-2 + 7x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 7x + -5x = 10 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-2 + 2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 2x = 10 + 0
-2 + 2x = 10

Add '2' to each side of the equation.
-2 + 2 + 2x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 10 + 2
2x = 10 + 2

Combine like terms: 10 + 2 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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