2(4+4x)-(5x+3)=x+9

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Solution for 2(4+4x)-(5x+3)=x+9 equation:


Simplifying
2(4 + 4x) + -1(5x + 3) = x + 9
(4 * 2 + 4x * 2) + -1(5x + 3) = x + 9
(8 + 8x) + -1(5x + 3) = x + 9

Reorder the terms:
8 + 8x + -1(3 + 5x) = x + 9
8 + 8x + (3 * -1 + 5x * -1) = x + 9
8 + 8x + (-3 + -5x) = x + 9

Reorder the terms:
8 + -3 + 8x + -5x = x + 9

Combine like terms: 8 + -3 = 5
5 + 8x + -5x = x + 9

Combine like terms: 8x + -5x = 3x
5 + 3x = x + 9

Reorder the terms:
5 + 3x = 9 + x

Solving
5 + 3x = 9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + 3x + -1x = 9 + x + -1x

Combine like terms: 3x + -1x = 2x
5 + 2x = 9 + x + -1x

Combine like terms: x + -1x = 0
5 + 2x = 9 + 0
5 + 2x = 9

Add '-5' to each side of the equation.
5 + -5 + 2x = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 9 + -5
2x = 9 + -5

Combine like terms: 9 + -5 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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