0.2(x+1)+0.5x=0.3(x-4)

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Solution for 0.2(x+1)+0.5x=0.3(x-4) equation: 


Simplifying
0.2(x + 1) + 0.5x = 0.3(x + -4)

Reorder the terms:
0.2(1 + x) + 0.5x = 0.3(x + -4)
(1 * 0.2 + x * 0.2) + 0.5x = 0.3(x + -4)
(0.2 + 0.2x) + 0.5x = 0.3(x + -4)

Combine like terms: 0.2x + 0.5x = 0.7x
0.2 + 0.7x = 0.3(x + -4)

Reorder the terms:
0.2 + 0.7x = 0.3(-4 + x)
0.2 + 0.7x = (-4 * 0.3 + x * 0.3)
0.2 + 0.7x = (-1.2 + 0.3x)

Solving
0.2 + 0.7x = -1.2 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
0.2 + 0.7x + -0.3x = -1.2 + 0.3x + -0.3x

Combine like terms: 0.7x + -0.3x = 0.4x
0.2 + 0.4x = -1.2 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.2 + 0.4x = -1.2 + 0.0
0.2 + 0.4x = -1.2

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.4x = -1.2 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.4x = -1.2 + -0.2
0.4x = -1.2 + -0.2

Combine like terms: -1.2 + -0.2 = -1.4
0.4x = -1.4

Divide each side by '0.4'.
x = -3.5

Simplifying
x = -3.5

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