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

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


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

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

Reorder the terms:
24 + 4x = 5(-4 + x)
24 + 4x = (-4 * 5 + x * 5)
24 + 4x = (-20 + 5x)

Solving
24 + 4x = -20 + 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 + 4x + -5x = -20 + 5x + -5x

Combine like terms: 4x + -5x = -1x
24 + -1x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -1x = -20 + 0
24 + -1x = -20

Add '-24' to each side of the equation.
24 + -24 + -1x = -20 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = -20 + -24
-1x = -20 + -24

Combine like terms: -20 + -24 = -44
-1x = -44

Divide each side by '-1'.
x = 44

Simplifying
x = 44

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