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

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


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

Reorder the terms:
6(-5 + 2x) = (x + -4)
(-5 * 6 + 2x * 6) = (x + -4)
(-30 + 12x) = (x + -4)

Reorder the terms:
-30 + 12x = (-4 + x)

Remove parenthesis around (-4 + x)
-30 + 12x = -4 + x

Solving
-30 + 12x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-30 + 12x + -1x = -4 + x + -1x

Combine like terms: 12x + -1x = 11x
-30 + 11x = -4 + x + -1x

Combine like terms: x + -1x = 0
-30 + 11x = -4 + 0
-30 + 11x = -4

Add '30' to each side of the equation.
-30 + 30 + 11x = -4 + 30

Combine like terms: -30 + 30 = 0
0 + 11x = -4 + 30
11x = -4 + 30

Combine like terms: -4 + 30 = 26
11x = 26

Divide each side by '11'.
x = 2.363636364

Simplifying
x = 2.363636364

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