3(x-3)=5x+7

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


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

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

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

Solving
-9 + 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.
-9 + 3x + -5x = 7 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-9 + -2x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -2x = 7 + 0
-9 + -2x = 7

Add '9' to each side of the equation.
-9 + 9 + -2x = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 7 + 9
-2x = 7 + 9

Combine like terms: 7 + 9 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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