0.4x+0.2(x+10)=x-1

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Solution for 0.4x+0.2(x+10)=x-1 equation: 


Simplifying
0.4x + 0.2(x + 10) = x + -1

Reorder the terms:
0.4x + 0.2(10 + x) = x + -1
0.4x + (10 * 0.2 + x * 0.2) = x + -1
0.4x + (2 + 0.2x) = x + -1

Reorder the terms:
2 + 0.4x + 0.2x = x + -1

Combine like terms: 0.4x + 0.2x = 0.6x
2 + 0.6x = x + -1

Reorder the terms:
2 + 0.6x = -1 + x

Solving
2 + 0.6x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 0.6x + -1x = -1 + x + -1x

Combine like terms: 0.6x + -1x = -0.4x
2 + -0.4x = -1 + x + -1x

Combine like terms: x + -1x = 0
2 + -0.4x = -1 + 0
2 + -0.4x = -1

Add '-2' to each side of the equation.
2 + -2 + -0.4x = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -0.4x = -1 + -2
-0.4x = -1 + -2

Combine like terms: -1 + -2 = -3
-0.4x = -3

Divide each side by '-0.4'.
x = 7.5

Simplifying
x = 7.5

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