5x+9=3(x-5)+7

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Solution for 5x+9=3(x-5)+7 equation: 


Simplifying
5x + 9 = 3(x + -5) + 7

Reorder the terms:
9 + 5x = 3(x + -5) + 7

Reorder the terms:
9 + 5x = 3(-5 + x) + 7
9 + 5x = (-5 * 3 + x * 3) + 7
9 + 5x = (-15 + 3x) + 7

Reorder the terms:
9 + 5x = -15 + 7 + 3x

Combine like terms: -15 + 7 = -8
9 + 5x = -8 + 3x

Solving
9 + 5x = -8 + 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 + 5x + -3x = -8 + 3x + -3x

Combine like terms: 5x + -3x = 2x
9 + 2x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 2x = -8 + 0
9 + 2x = -8

Add '-9' to each side of the equation.
9 + -9 + 2x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = -8 + -9
2x = -8 + -9

Combine like terms: -8 + -9 = -17
2x = -17

Divide each side by '2'.
x = -8.5

Simplifying
x = -8.5

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