2+0.1(7-x)=1.7x-(0.4x-2.7)

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Solution for 2+0.1(7-x)=1.7x-(0.4x-2.7) equation:


Simplifying
2 + 0.1(7 + -1x) = 1.7x + -1(0.4x + -2.7)
2 + (7 * 0.1 + -1x * 0.1) = 1.7x + -1(0.4x + -2.7)
2 + (0.7 + -0.1x) = 1.7x + -1(0.4x + -2.7)

Combine like terms: 2 + 0.7 = 2.7
2.7 + -0.1x = 1.7x + -1(0.4x + -2.7)

Reorder the terms:
2.7 + -0.1x = 1.7x + -1(-2.7 + 0.4x)
2.7 + -0.1x = 1.7x + (-2.7 * -1 + 0.4x * -1)
2.7 + -0.1x = 1.7x + (2.7 + -0.4x)

Reorder the terms:
2.7 + -0.1x = 2.7 + 1.7x + -0.4x

Combine like terms: 1.7x + -0.4x = 1.3x
2.7 + -0.1x = 2.7 + 1.3x

Add '-2.7' to each side of the equation.
2.7 + -2.7 + -0.1x = 2.7 + -2.7 + 1.3x

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + -0.1x = 2.7 + -2.7 + 1.3x
-0.1x = 2.7 + -2.7 + 1.3x

Combine like terms: 2.7 + -2.7 = 0.0
-0.1x = 0.0 + 1.3x
-0.1x = 1.3x

Solving
-0.1x = 1.3x

Solving for variable 'x'.

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

Add '-1.3x' to each side of the equation.
-0.1x + -1.3x = 1.3x + -1.3x

Combine like terms: -0.1x + -1.3x = -1.4x
-1.4x = 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
-1.4x = 0.0

Divide each side by '-1.4'.
x = 0

Simplifying
x = 0

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