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

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


Simplifying
2(x + -9) + -1(6 + -4x) = 5x

Reorder the terms:
2(-9 + x) + -1(6 + -4x) = 5x
(-9 * 2 + x * 2) + -1(6 + -4x) = 5x
(-18 + 2x) + -1(6 + -4x) = 5x
-18 + 2x + (6 * -1 + -4x * -1) = 5x
-18 + 2x + (-6 + 4x) = 5x

Reorder the terms:
-18 + -6 + 2x + 4x = 5x

Combine like terms: -18 + -6 = -24
-24 + 2x + 4x = 5x

Combine like terms: 2x + 4x = 6x
-24 + 6x = 5x

Solving
-24 + 6x = 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.
-24 + 6x + -5x = 5x + -5x

Combine like terms: 6x + -5x = 1x
-24 + 1x = 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + 1x = 0

Add '24' to each side of the equation.
-24 + 24 + 1x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 1x = 0 + 24
1x = 0 + 24

Combine like terms: 0 + 24 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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