0.4(x+6)=2.8+4(0.3x+0.1)

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Solution for 0.4(x+6)=2.8+4(0.3x+0.1) equation: 


Simplifying
0.4(x + 6) = 2.8 + 4(0.3x + 0.1)

Reorder the terms:
0.4(6 + x) = 2.8 + 4(0.3x + 0.1)
(6 * 0.4 + x * 0.4) = 2.8 + 4(0.3x + 0.1)
(2.4 + 0.4x) = 2.8 + 4(0.3x + 0.1)

Reorder the terms:
2.4 + 0.4x = 2.8 + 4(0.1 + 0.3x)
2.4 + 0.4x = 2.8 + (0.1 * 4 + 0.3x * 4)
2.4 + 0.4x = 2.8 + (0.4 + 1.2x)

Combine like terms: 2.8 + 0.4 = 3.2
2.4 + 0.4x = 3.2 + 1.2x

Solving
2.4 + 0.4x = 3.2 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
2.4 + 0.4x + -1.2x = 3.2 + 1.2x + -1.2x

Combine like terms: 0.4x + -1.2x = -0.8x
2.4 + -0.8x = 3.2 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
2.4 + -0.8x = 3.2 + 0.0
2.4 + -0.8x = 3.2

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -0.8x = 3.2 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -0.8x = 3.2 + -2.4
-0.8x = 3.2 + -2.4

Combine like terms: 3.2 + -2.4 = 0.8
-0.8x = 0.8

Divide each side by '-0.8'.
x = -1

Simplifying
x = -1

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