3(3x-2)=5x+7

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Solution for 3(3x-2)=5x+7 equation:


Simplifying
3(3x + -2) = 5x + 7

Reorder the terms:
3(-2 + 3x) = 5x + 7
(-2 * 3 + 3x * 3) = 5x + 7
(-6 + 9x) = 5x + 7

Reorder the terms:
-6 + 9x = 7 + 5x

Solving
-6 + 9x = 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.
-6 + 9x + -5x = 7 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-6 + 4x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 4x = 7 + 0
-6 + 4x = 7

Add '6' to each side of the equation.
-6 + 6 + 4x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 7 + 6
4x = 7 + 6

Combine like terms: 7 + 6 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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