7(x+2)-5(2x+4)=9

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Solution for 7(x+2)-5(2x+4)=9 equation:


Simplifying
7(x + 2) + -5(2x + 4) = 9

Reorder the terms:
7(2 + x) + -5(2x + 4) = 9
(2 * 7 + x * 7) + -5(2x + 4) = 9
(14 + 7x) + -5(2x + 4) = 9

Reorder the terms:
14 + 7x + -5(4 + 2x) = 9
14 + 7x + (4 * -5 + 2x * -5) = 9
14 + 7x + (-20 + -10x) = 9

Reorder the terms:
14 + -20 + 7x + -10x = 9

Combine like terms: 14 + -20 = -6
-6 + 7x + -10x = 9

Combine like terms: 7x + -10x = -3x
-6 + -3x = 9

Solving
-6 + -3x = 9

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -3x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 9 + 6
-3x = 9 + 6

Combine like terms: 9 + 6 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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