4(x+2)=5(x-38.4)

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Solution for 4(x+2)=5(x-38.4) equation:


Simplifying
4(x + 2) = 5(x + -38.4)

Reorder the terms:
4(2 + x) = 5(x + -38.4)
(2 * 4 + x * 4) = 5(x + -38.4)
(8 + 4x) = 5(x + -38.4)

Reorder the terms:
8 + 4x = 5(-38.4 + x)
8 + 4x = (-38.4 * 5 + x * 5)
8 + 4x = (-192 + 5x)

Solving
8 + 4x = -192 + 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.
8 + 4x + -5x = -192 + 5x + -5x

Combine like terms: 4x + -5x = -1x
8 + -1x = -192 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -1x = -192 + 0
8 + -1x = -192

Add '-8' to each side of the equation.
8 + -8 + -1x = -192 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -192 + -8
-1x = -192 + -8

Combine like terms: -192 + -8 = -200
-1x = -200

Divide each side by '-1'.
x = 200

Simplifying
x = 200

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