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

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


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

Remove parenthesis around (-1x)
5x + 2 * -1x + 9 = 3(-1x) + 15

Multiply 2 * -1
5x + -2x + 9 = 3(-1x) + 15

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

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

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

Multiply 3 * -1
9 + 3x = -3x + 15

Reorder the terms:
9 + 3x = 15 + -3x

Solving
9 + 3x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
9 + 3x + 3x = 15 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
9 + 6x = 15 + 0
9 + 6x = 15

Add '-9' to each side of the equation.
9 + -9 + 6x = 15 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = 15 + -9
6x = 15 + -9

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

Divide each side by '6'.
x = 1

Simplifying
x = 1

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