(2x-5)=6(x-4)+9

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Solution for (2x-5)=6(x-4)+9 equation:


Simplifying
(2x + -5) = 6(x + -4) + 9

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

Remove parenthesis around (-5 + 2x)
-5 + 2x = 6(x + -4) + 9

Reorder the terms:
-5 + 2x = 6(-4 + x) + 9
-5 + 2x = (-4 * 6 + x * 6) + 9
-5 + 2x = (-24 + 6x) + 9

Reorder the terms:
-5 + 2x = -24 + 9 + 6x

Combine like terms: -24 + 9 = -15
-5 + 2x = -15 + 6x

Solving
-5 + 2x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 2x + -6x = -15 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-5 + -4x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -4x = -15 + 0
-5 + -4x = -15

Add '5' to each side of the equation.
-5 + 5 + -4x = -15 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = -15 + 5
-4x = -15 + 5

Combine like terms: -15 + 5 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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