5(x-4)+6=-6(x-1)

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Solution for 5(x-4)+6=-6(x-1) equation:


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

Reorder the terms:
5(-4 + x) + 6 = -6(x + -1)
(-4 * 5 + x * 5) + 6 = -6(x + -1)
(-20 + 5x) + 6 = -6(x + -1)

Reorder the terms:
-20 + 6 + 5x = -6(x + -1)

Combine like terms: -20 + 6 = -14
-14 + 5x = -6(x + -1)

Reorder the terms:
-14 + 5x = -6(-1 + x)
-14 + 5x = (-1 * -6 + x * -6)
-14 + 5x = (6 + -6x)

Solving
-14 + 5x = 6 + -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.
-14 + 5x + 6x = 6 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-14 + 11x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-14 + 11x = 6 + 0
-14 + 11x = 6

Add '14' to each side of the equation.
-14 + 14 + 11x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 11x = 6 + 14
11x = 6 + 14

Combine like terms: 6 + 14 = 20
11x = 20

Divide each side by '11'.
x = 1.818181818

Simplifying
x = 1.818181818

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