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

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


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

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

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

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

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

Solving
0.7 + 0.2x = -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.
0.7 + 0.2x + -0.3x = -1.2 + 0.3x + -0.3x

Combine like terms: 0.2x + -0.3x = -0.1x
0.7 + -0.1x = -1.2 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.7 + -0.1x = -1.2 + 0.0
0.7 + -0.1x = -1.2

Add '-0.7' to each side of the equation.
0.7 + -0.7 + -0.1x = -1.2 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + -0.1x = -1.2 + -0.7
-0.1x = -1.2 + -0.7

Combine like terms: -1.2 + -0.7 = -1.9
-0.1x = -1.9

Divide each side by '-0.1'.
x = 19

Simplifying
x = 19

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