1.2(x+4)=-2.8(x-3)

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Solution for 1.2(x+4)=-2.8(x-3) equation: 


Simplifying
1.2(x + 4) = -2.8(x + -3)

Reorder the terms:
1.2(4 + x) = -2.8(x + -3)
(4 * 1.2 + x * 1.2) = -2.8(x + -3)
(4.8 + 1.2x) = -2.8(x + -3)

Reorder the terms:
4.8 + 1.2x = -2.8(-3 + x)
4.8 + 1.2x = (-3 * -2.8 + x * -2.8)
4.8 + 1.2x = (8.4 + -2.8x)

Solving
4.8 + 1.2x = 8.4 + -2.8x

Solving for variable 'x'.

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

Add '2.8x' to each side of the equation.
4.8 + 1.2x + 2.8x = 8.4 + -2.8x + 2.8x

Combine like terms: 1.2x + 2.8x = 4x
4.8 + 4x = 8.4 + -2.8x + 2.8x

Combine like terms: -2.8x + 2.8x = 0.0
4.8 + 4x = 8.4 + 0.0
4.8 + 4x = 8.4

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 4x = 8.4 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 4x = 8.4 + -4.8
4x = 8.4 + -4.8

Combine like terms: 8.4 + -4.8 = 3.6
4x = 3.6

Divide each side by '4'.
x = 0.9

Simplifying
x = 0.9

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