0.4(x+0.3)+0.4x=0.4(x-1.7)-3.2

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Solution for 0.4(x+0.3)+0.4x=0.4(x-1.7)-3.2 equation: 


Simplifying
0.4(x + 0.3) + 0.4x = 0.4(x + -1.7) + -3.2

Reorder the terms:
0.4(0.3 + x) + 0.4x = 0.4(x + -1.7) + -3.2
(0.3 * 0.4 + x * 0.4) + 0.4x = 0.4(x + -1.7) + -3.2
(0.12 + 0.4x) + 0.4x = 0.4(x + -1.7) + -3.2

Combine like terms: 0.4x + 0.4x = 0.8x
0.12 + 0.8x = 0.4(x + -1.7) + -3.2

Reorder the terms:
0.12 + 0.8x = 0.4(-1.7 + x) + -3.2
0.12 + 0.8x = (-1.7 * 0.4 + x * 0.4) + -3.2
0.12 + 0.8x = (-0.68 + 0.4x) + -3.2

Reorder the terms:
0.12 + 0.8x = -0.68 + -3.2 + 0.4x

Combine like terms: -0.68 + -3.2 = -3.88
0.12 + 0.8x = -3.88 + 0.4x

Solving
0.12 + 0.8x = -3.88 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
0.12 + 0.8x + -0.4x = -3.88 + 0.4x + -0.4x

Combine like terms: 0.8x + -0.4x = 0.4x
0.12 + 0.4x = -3.88 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.12 + 0.4x = -3.88 + 0.0
0.12 + 0.4x = -3.88

Add '-0.12' to each side of the equation.
0.12 + -0.12 + 0.4x = -3.88 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + 0.4x = -3.88 + -0.12
0.4x = -3.88 + -0.12

Combine like terms: -3.88 + -0.12 = -4
0.4x = -4

Divide each side by '0.4'.
x = -10

Simplifying
x = -10

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