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

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


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

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

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

Combine like terms: 3x + -2x = 1x
7x + 2(-6 + 1x) = 5
7x + (-6 * 2 + 1x * 2) = 5
7x + (-12 + 2x) = 5

Reorder the terms:
-12 + 7x + 2x = 5

Combine like terms: 7x + 2x = 9x
-12 + 9x = 5

Solving
-12 + 9x = 5

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 9x = 5 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = 5 + 12
9x = 5 + 12

Combine like terms: 5 + 12 = 17
9x = 17

Divide each side by '9'.
x = 1.888888889

Simplifying
x = 1.888888889

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