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

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


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

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

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

Solving
-20 + 5x = -6 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-20 + 5x + 4x = -6 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-20 + 9x = -6 + -4x + 4x

Combine like terms: -4x + 4x = 0
-20 + 9x = -6 + 0
-20 + 9x = -6

Add '20' to each side of the equation.
-20 + 20 + 9x = -6 + 20

Combine like terms: -20 + 20 = 0
0 + 9x = -6 + 20
9x = -6 + 20

Combine like terms: -6 + 20 = 14
9x = 14

Divide each side by '9'.
x = 1.555555556

Simplifying
x = 1.555555556

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