4.8(x+3)=1.2(2x-8)

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Solution for 4.8(x+3)=1.2(2x-8) equation: 


Simplifying
4.8(x + 3) = 1.2(2x + -8)

Reorder the terms:
4.8(3 + x) = 1.2(2x + -8)
(3 * 4.8 + x * 4.8) = 1.2(2x + -8)
(14.4 + 4.8x) = 1.2(2x + -8)

Reorder the terms:
14.4 + 4.8x = 1.2(-8 + 2x)
14.4 + 4.8x = (-8 * 1.2 + 2x * 1.2)
14.4 + 4.8x = (-9.6 + 2.4x)

Solving
14.4 + 4.8x = -9.6 + 2.4x

Solving for variable 'x'.

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

Add '-2.4x' to each side of the equation.
14.4 + 4.8x + -2.4x = -9.6 + 2.4x + -2.4x

Combine like terms: 4.8x + -2.4x = 2.4x
14.4 + 2.4x = -9.6 + 2.4x + -2.4x

Combine like terms: 2.4x + -2.4x = 0.0
14.4 + 2.4x = -9.6 + 0.0
14.4 + 2.4x = -9.6

Add '-14.4' to each side of the equation.
14.4 + -14.4 + 2.4x = -9.6 + -14.4

Combine like terms: 14.4 + -14.4 = 0.0
0.0 + 2.4x = -9.6 + -14.4
2.4x = -9.6 + -14.4

Combine like terms: -9.6 + -14.4 = -24
2.4x = -24

Divide each side by '2.4'.
x = -10

Simplifying
x = -10

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