.26x+.6(x-8)=.01(6x-3)

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Solution for .26x+.6(x-8)=.01(6x-3) equation: 


Simplifying
0.26x + 0.6(x + -8) = 0.01(6x + -3)

Reorder the terms:
0.26x + 0.6(-8 + x) = 0.01(6x + -3)
0.26x + (-8 * 0.6 + x * 0.6) = 0.01(6x + -3)
0.26x + (-4.8 + 0.6x) = 0.01(6x + -3)

Reorder the terms:
-4.8 + 0.26x + 0.6x = 0.01(6x + -3)

Combine like terms: 0.26x + 0.6x = 0.86x
-4.8 + 0.86x = 0.01(6x + -3)

Reorder the terms:
-4.8 + 0.86x = 0.01(-3 + 6x)
-4.8 + 0.86x = (-3 * 0.01 + 6x * 0.01)
-4.8 + 0.86x = (-0.03 + 0.06x)

Solving
-4.8 + 0.86x = -0.03 + 0.06x

Solving for variable 'x'.

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

Add '-0.06x' to each side of the equation.
-4.8 + 0.86x + -0.06x = -0.03 + 0.06x + -0.06x

Combine like terms: 0.86x + -0.06x = 0.8x
-4.8 + 0.8x = -0.03 + 0.06x + -0.06x

Combine like terms: 0.06x + -0.06x = 0.00
-4.8 + 0.8x = -0.03 + 0.00
-4.8 + 0.8x = -0.03

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 0.8x = -0.03 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 0.8x = -0.03 + 4.8
0.8x = -0.03 + 4.8

Combine like terms: -0.03 + 4.8 = 4.77
0.8x = 4.77

Divide each side by '0.8'.
x = 5.9625

Simplifying
x = 5.9625

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