3(4x-9)=5(2x)-5

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Solution for 3(4x-9)=5(2x)-5 equation:


Simplifying
3(4x + -9) = 5(2x) + -5

Reorder the terms:
3(-9 + 4x) = 5(2x) + -5
(-9 * 3 + 4x * 3) = 5(2x) + -5
(-27 + 12x) = 5(2x) + -5

Remove parenthesis around (2x)
-27 + 12x = 5 * 2x + -5

Multiply 5 * 2
-27 + 12x = 10x + -5

Reorder the terms:
-27 + 12x = -5 + 10x

Solving
-27 + 12x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-27 + 12x + -10x = -5 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-27 + 2x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-27 + 2x = -5 + 0
-27 + 2x = -5

Add '27' to each side of the equation.
-27 + 27 + 2x = -5 + 27

Combine like terms: -27 + 27 = 0
0 + 2x = -5 + 27
2x = -5 + 27

Combine like terms: -5 + 27 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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