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

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


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

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

Reorder the terms:
-15 + 6x = 2(5 + x) + 9
-15 + 6x = (5 * 2 + x * 2) + 9
-15 + 6x = (10 + 2x) + 9

Reorder the terms:
-15 + 6x = 10 + 9 + 2x

Combine like terms: 10 + 9 = 19
-15 + 6x = 19 + 2x

Solving
-15 + 6x = 19 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 6x + -2x = 19 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-15 + 4x = 19 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 4x = 19 + 0
-15 + 4x = 19

Add '15' to each side of the equation.
-15 + 15 + 4x = 19 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 19 + 15
4x = 19 + 15

Combine like terms: 19 + 15 = 34
4x = 34

Divide each side by '4'.
x = 8.5

Simplifying
x = 8.5

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