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

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


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

Reorder the terms:
7(-2 + x) + 2x = 5(x + 2)
(-2 * 7 + x * 7) + 2x = 5(x + 2)
(-14 + 7x) + 2x = 5(x + 2)

Combine like terms: 7x + 2x = 9x
-14 + 9x = 5(x + 2)

Reorder the terms:
-14 + 9x = 5(2 + x)
-14 + 9x = (2 * 5 + x * 5)
-14 + 9x = (10 + 5x)

Solving
-14 + 9x = 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.
-14 + 9x + -5x = 10 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-14 + 4x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + 4x = 10 + 0
-14 + 4x = 10

Add '14' to each side of the equation.
-14 + 14 + 4x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 10 + 14
4x = 10 + 14

Combine like terms: 10 + 14 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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