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

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


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

Reorder the terms:
3(-5 + 2x) = 5(x + -4) + 9
(-5 * 3 + 2x * 3) = 5(x + -4) + 9
(-15 + 6x) = 5(x + -4) + 9

Reorder the terms:
-15 + 6x = 5(-4 + x) + 9
-15 + 6x = (-4 * 5 + x * 5) + 9
-15 + 6x = (-20 + 5x) + 9

Reorder the terms:
-15 + 6x = -20 + 9 + 5x

Combine like terms: -20 + 9 = -11
-15 + 6x = -11 + 5x

Solving
-15 + 6x = -11 + 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.
-15 + 6x + -5x = -11 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-15 + 1x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + 1x = -11 + 0
-15 + 1x = -11

Add '15' to each side of the equation.
-15 + 15 + 1x = -11 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -11 + 15
1x = -11 + 15

Combine like terms: -11 + 15 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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