3(3x-5)=7(x+2)+17

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Solution for 3(3x-5)=7(x+2)+17 equation:


Simplifying
3(3x + -5) = 7(x + 2) + 17

Reorder the terms:
3(-5 + 3x) = 7(x + 2) + 17
(-5 * 3 + 3x * 3) = 7(x + 2) + 17
(-15 + 9x) = 7(x + 2) + 17

Reorder the terms:
-15 + 9x = 7(2 + x) + 17
-15 + 9x = (2 * 7 + x * 7) + 17
-15 + 9x = (14 + 7x) + 17

Reorder the terms:
-15 + 9x = 14 + 17 + 7x

Combine like terms: 14 + 17 = 31
-15 + 9x = 31 + 7x

Solving
-15 + 9x = 31 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-15 + 9x + -7x = 31 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-15 + 2x = 31 + 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + 2x = 31 + 0
-15 + 2x = 31

Add '15' to each side of the equation.
-15 + 15 + 2x = 31 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 31 + 15
2x = 31 + 15

Combine like terms: 31 + 15 = 46
2x = 46

Divide each side by '2'.
x = 23

Simplifying
x = 23

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