9x-(3x+4)=15+5(2-x)

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Solution for 9x-(3x+4)=15+5(2-x) equation:


Simplifying
9x + -1(3x + 4) = 15 + 5(2 + -1x)

Reorder the terms:
9x + -1(4 + 3x) = 15 + 5(2 + -1x)
9x + (4 * -1 + 3x * -1) = 15 + 5(2 + -1x)
9x + (-4 + -3x) = 15 + 5(2 + -1x)

Reorder the terms:
-4 + 9x + -3x = 15 + 5(2 + -1x)

Combine like terms: 9x + -3x = 6x
-4 + 6x = 15 + 5(2 + -1x)
-4 + 6x = 15 + (2 * 5 + -1x * 5)
-4 + 6x = 15 + (10 + -5x)

Combine like terms: 15 + 10 = 25
-4 + 6x = 25 + -5x

Solving
-4 + 6x = 25 + -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.
-4 + 6x + 5x = 25 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-4 + 11x = 25 + -5x + 5x

Combine like terms: -5x + 5x = 0
-4 + 11x = 25 + 0
-4 + 11x = 25

Add '4' to each side of the equation.
-4 + 4 + 11x = 25 + 4

Combine like terms: -4 + 4 = 0
0 + 11x = 25 + 4
11x = 25 + 4

Combine like terms: 25 + 4 = 29
11x = 29

Divide each side by '11'.
x = 2.636363636

Simplifying
x = 2.636363636

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