0.1(2x+1)+0.7x=0.2(x-1)

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Solution for 0.1(2x+1)+0.7x=0.2(x-1) equation: 


Simplifying
0.1(2x + 1) + 0.7x = 0.2(x + -1)

Reorder the terms:
0.1(1 + 2x) + 0.7x = 0.2(x + -1)
(1 * 0.1 + 2x * 0.1) + 0.7x = 0.2(x + -1)
(0.1 + 0.2x) + 0.7x = 0.2(x + -1)

Combine like terms: 0.2x + 0.7x = 0.9x
0.1 + 0.9x = 0.2(x + -1)

Reorder the terms:
0.1 + 0.9x = 0.2(-1 + x)
0.1 + 0.9x = (-1 * 0.2 + x * 0.2)
0.1 + 0.9x = (-0.2 + 0.2x)

Solving
0.1 + 0.9x = -0.2 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
0.1 + 0.9x + -0.2x = -0.2 + 0.2x + -0.2x

Combine like terms: 0.9x + -0.2x = 0.7x
0.1 + 0.7x = -0.2 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.1 + 0.7x = -0.2 + 0.0
0.1 + 0.7x = -0.2

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.7x = -0.2 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.7x = -0.2 + -0.1
0.7x = -0.2 + -0.1

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

Divide each side by '0.7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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