.7x-.6(16-3x)=-.1(x-8)

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Solution for .7x-.6(16-3x)=-.1(x-8) equation:


Simplifying
0.7x + -0.6(16 + -3x) = -0.1(x + -8)
0.7x + (16 * -0.6 + -3x * -0.6) = -0.1(x + -8)
0.7x + (-9.6 + 1.8x) = -0.1(x + -8)

Reorder the terms:
-9.6 + 0.7x + 1.8x = -0.1(x + -8)

Combine like terms: 0.7x + 1.8x = 2.5x
-9.6 + 2.5x = -0.1(x + -8)

Reorder the terms:
-9.6 + 2.5x = -0.1(-8 + x)
-9.6 + 2.5x = (-8 * -0.1 + x * -0.1)
-9.6 + 2.5x = (0.8 + -0.1x)

Solving
-9.6 + 2.5x = 0.8 + -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.
-9.6 + 2.5x + 0.1x = 0.8 + -0.1x + 0.1x

Combine like terms: 2.5x + 0.1x = 2.6x
-9.6 + 2.6x = 0.8 + -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
-9.6 + 2.6x = 0.8 + 0.0
-9.6 + 2.6x = 0.8

Add '9.6' to each side of the equation.
-9.6 + 9.6 + 2.6x = 0.8 + 9.6

Combine like terms: -9.6 + 9.6 = 0.0
0.0 + 2.6x = 0.8 + 9.6
2.6x = 0.8 + 9.6

Combine like terms: 0.8 + 9.6 = 10.4
2.6x = 10.4

Divide each side by '2.6'.
x = 4

Simplifying
x = 4

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