3(x+9)=5x-7

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


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

Reorder the terms:
3(9 + x) = 5x + -7
(9 * 3 + x * 3) = 5x + -7
(27 + 3x) = 5x + -7

Reorder the terms:
27 + 3x = -7 + 5x

Solving
27 + 3x = -7 + 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.
27 + 3x + -5x = -7 + 5x + -5x

Combine like terms: 3x + -5x = -2x
27 + -2x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
27 + -2x = -7 + 0
27 + -2x = -7

Add '-27' to each side of the equation.
27 + -27 + -2x = -7 + -27

Combine like terms: 27 + -27 = 0
0 + -2x = -7 + -27
-2x = -7 + -27

Combine like terms: -7 + -27 = -34
-2x = -34

Divide each side by '-2'.
x = 17

Simplifying
x = 17

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