5.4(9+x)=-12(4-x)

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Solution for 5.4(9+x)=-12(4-x) equation: 


Simplifying
5.4(9 + x) = -12(4 + -1x)
(9 * 5.4 + x * 5.4) = -12(4 + -1x)
(48.6 + 5.4x) = -12(4 + -1x)
48.6 + 5.4x = (4 * -12 + -1x * -12)
48.6 + 5.4x = (-48 + 12x)

Solving
48.6 + 5.4x = -48 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
48.6 + 5.4x + -12x = -48 + 12x + -12x

Combine like terms: 5.4x + -12x = -6.6x
48.6 + -6.6x = -48 + 12x + -12x

Combine like terms: 12x + -12x = 0
48.6 + -6.6x = -48 + 0
48.6 + -6.6x = -48

Add '-48.6' to each side of the equation.
48.6 + -48.6 + -6.6x = -48 + -48.6

Combine like terms: 48.6 + -48.6 = 0.0
0.0 + -6.6x = -48 + -48.6
-6.6x = -48 + -48.6

Combine like terms: -48 + -48.6 = -96.6
-6.6x = -96.6

Divide each side by '-6.6'.
x = 14.63636364

Simplifying
x = 14.63636364

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