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

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


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

Reorder the terms:
2(-9 + 3x) = 5(x + -2) + 5
(-9 * 2 + 3x * 2) = 5(x + -2) + 5
(-18 + 6x) = 5(x + -2) + 5

Reorder the terms:
-18 + 6x = 5(-2 + x) + 5
-18 + 6x = (-2 * 5 + x * 5) + 5
-18 + 6x = (-10 + 5x) + 5

Reorder the terms:
-18 + 6x = -10 + 5 + 5x

Combine like terms: -10 + 5 = -5
-18 + 6x = -5 + 5x

Solving
-18 + 6x = -5 + 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.
-18 + 6x + -5x = -5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-18 + 1x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 1x = -5 + 0
-18 + 1x = -5

Add '18' to each side of the equation.
-18 + 18 + 1x = -5 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -5 + 18
1x = -5 + 18

Combine like terms: -5 + 18 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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