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 = 1x
0.2 + 1x = 1.2 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
0.2 + 1x = 1.2 + 0.0
0.2 + 1x = 1.2

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 1x = 1.2 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 1x = 1.2 + -0.2
1x = 1.2 + -0.2

Combine like terms: 1.2 + -0.2 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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