.7x-.2(13-4x)=-.1(x-6)

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Solution for .7x-.2(13-4x)=-.1(x-6) equation:


Simplifying
0.7x + -0.2(13 + -4x) = -0.1(x + -6)
0.7x + (13 * -0.2 + -4x * -0.2) = -0.1(x + -6)
0.7x + (-2.6 + 0.8x) = -0.1(x + -6)

Reorder the terms:
-2.6 + 0.7x + 0.8x = -0.1(x + -6)

Combine like terms: 0.7x + 0.8x = 1.5x
-2.6 + 1.5x = -0.1(x + -6)

Reorder the terms:
-2.6 + 1.5x = -0.1(-6 + x)
-2.6 + 1.5x = (-6 * -0.1 + x * -0.1)
-2.6 + 1.5x = (0.6 + -0.1x)

Solving
-2.6 + 1.5x = 0.6 + -0.1x

Solving for variable 'x'.

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

Add '0.1x' to each side of the equation.
-2.6 + 1.5x + 0.1x = 0.6 + -0.1x + 0.1x

Combine like terms: 1.5x + 0.1x = 1.6x
-2.6 + 1.6x = 0.6 + -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
-2.6 + 1.6x = 0.6 + 0.0
-2.6 + 1.6x = 0.6

Add '2.6' to each side of the equation.
-2.6 + 2.6 + 1.6x = 0.6 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + 1.6x = 0.6 + 2.6
1.6x = 0.6 + 2.6

Combine like terms: 0.6 + 2.6 = 3.2
1.6x = 3.2

Divide each side by '1.6'.
x = 2

Simplifying
x = 2

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