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

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


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

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

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

Combine like terms: -9 + -7 = -16
-16 + 3x = 5x + 9

Reorder the terms:
-16 + 3x = 9 + 5x

Solving
-16 + 3x = 9 + 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.
-16 + 3x + -5x = 9 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-16 + -2x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -2x = 9 + 0
-16 + -2x = 9

Add '16' to each side of the equation.
-16 + 16 + -2x = 9 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = 9 + 16
-2x = 9 + 16

Combine like terms: 9 + 16 = 25
-2x = 25

Divide each side by '-2'.
x = -12.5

Simplifying
x = -12.5

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