3(x+9)=2(2x+17)

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Solution for 3(x+9)=2(2x+17) equation:


Simplifying
3(x + 9) = 2(2x + 17)

Reorder the terms:
3(9 + x) = 2(2x + 17)
(9 * 3 + x * 3) = 2(2x + 17)
(27 + 3x) = 2(2x + 17)

Reorder the terms:
27 + 3x = 2(17 + 2x)
27 + 3x = (17 * 2 + 2x * 2)
27 + 3x = (34 + 4x)

Solving
27 + 3x = 34 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
27 + 3x + -4x = 34 + 4x + -4x

Combine like terms: 3x + -4x = -1x
27 + -1x = 34 + 4x + -4x

Combine like terms: 4x + -4x = 0
27 + -1x = 34 + 0
27 + -1x = 34

Add '-27' to each side of the equation.
27 + -27 + -1x = 34 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 34 + -27
-1x = 34 + -27

Combine like terms: 34 + -27 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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