0.8(4x+6)=1.9-(x-3)

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Solution for 0.8(4x+6)=1.9-(x-3) equation: 


Simplifying
0.8(4x + 6) = 1.9 + -1(x + -3)

Reorder the terms:
0.8(6 + 4x) = 1.9 + -1(x + -3)
(6 * 0.8 + 4x * 0.8) = 1.9 + -1(x + -3)
(4.8 + 3.2x) = 1.9 + -1(x + -3)

Reorder the terms:
4.8 + 3.2x = 1.9 + -1(-3 + x)
4.8 + 3.2x = 1.9 + (-3 * -1 + x * -1)
4.8 + 3.2x = 1.9 + (3 + -1x)

Combine like terms: 1.9 + 3 = 4.9
4.8 + 3.2x = 4.9 + -1x

Solving
4.8 + 3.2x = 4.9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4.8 + 3.2x + x = 4.9 + -1x + x

Combine like terms: 3.2x + x = 4.2x
4.8 + 4.2x = 4.9 + -1x + x

Combine like terms: -1x + x = 0
4.8 + 4.2x = 4.9 + 0
4.8 + 4.2x = 4.9

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 4.2x = 4.9 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 4.2x = 4.9 + -4.8
4.2x = 4.9 + -4.8

Combine like terms: 4.9 + -4.8 = 0.1
4.2x = 0.1

Divide each side by '4.2'.
x = 0.02380952381

Simplifying
x = 0.02380952381

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