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

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


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

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

Remove parenthesis around (-4 + 3x)
9 + -4 + 3x = 15 + -1(2x + -2)

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

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

Combine like terms: 15 + 2 = 17
5 + 3x = 17 + -2x

Solving
5 + 3x = 17 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
5 + 3x + 2x = 17 + -2x + 2x

Combine like terms: 3x + 2x = 5x
5 + 5x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 5x = 17 + 0
5 + 5x = 17

Add '-5' to each side of the equation.
5 + -5 + 5x = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 17 + -5
5x = 17 + -5

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

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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