3(x-9)=2(4x+26)

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Solution for 3(x-9)=2(4x+26) equation:


Simplifying
3(x + -9) = 2(4x + 26)

Reorder the terms:
3(-9 + x) = 2(4x + 26)
(-9 * 3 + x * 3) = 2(4x + 26)
(-27 + 3x) = 2(4x + 26)

Reorder the terms:
-27 + 3x = 2(26 + 4x)
-27 + 3x = (26 * 2 + 4x * 2)
-27 + 3x = (52 + 8x)

Solving
-27 + 3x = 52 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-27 + 3x + -8x = 52 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-27 + -5x = 52 + 8x + -8x

Combine like terms: 8x + -8x = 0
-27 + -5x = 52 + 0
-27 + -5x = 52

Add '27' to each side of the equation.
-27 + 27 + -5x = 52 + 27

Combine like terms: -27 + 27 = 0
0 + -5x = 52 + 27
-5x = 52 + 27

Combine like terms: 52 + 27 = 79
-5x = 79

Divide each side by '-5'.
x = -15.8

Simplifying
x = -15.8

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