0.4(5x+10)=1.2-(x+2)

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Solution for 0.4(5x+10)=1.2-(x+2) equation:


Simplifying
0.4(5x + 10) = 1.2 + -1(x + 2)

Reorder the terms:
0.4(10 + 5x) = 1.2 + -1(x + 2)
(10 * 0.4 + 5x * 0.4) = 1.2 + -1(x + 2)
(4 + 2x) = 1.2 + -1(x + 2)

Reorder the terms:
4 + 2x = 1.2 + -1(2 + x)
4 + 2x = 1.2 + (2 * -1 + x * -1)
4 + 2x = 1.2 + (-2 + -1x)

Combine like terms: 1.2 + -2 = -0.8
4 + 2x = -0.8 + -1x

Solving
4 + 2x = -0.8 + -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 + 2x + x = -0.8 + -1x + x

Combine like terms: 2x + x = 3x
4 + 3x = -0.8 + -1x + x

Combine like terms: -1x + x = 0
4 + 3x = -0.8 + 0
4 + 3x = -0.8

Add '-4' to each side of the equation.
4 + -4 + 3x = -0.8 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = -0.8 + -4
3x = -0.8 + -4

Combine like terms: -0.8 + -4 = -4.8
3x = -4.8

Divide each side by '3'.
x = -1.6

Simplifying
x = -1.6

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