.13x+.6(x-3)=.01(3x-5)

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Solution for .13x+.6(x-3)=.01(3x-5) equation:


Simplifying
0.13x + 0.6(x + -3) = 0.01(3x + -5)

Reorder the terms:
0.13x + 0.6(-3 + x) = 0.01(3x + -5)
0.13x + (-3 * 0.6 + x * 0.6) = 0.01(3x + -5)
0.13x + (-1.8 + 0.6x) = 0.01(3x + -5)

Reorder the terms:
-1.8 + 0.13x + 0.6x = 0.01(3x + -5)

Combine like terms: 0.13x + 0.6x = 0.73x
-1.8 + 0.73x = 0.01(3x + -5)

Reorder the terms:
-1.8 + 0.73x = 0.01(-5 + 3x)
-1.8 + 0.73x = (-5 * 0.01 + 3x * 0.01)
-1.8 + 0.73x = (-0.05 + 0.03x)

Solving
-1.8 + 0.73x = -0.05 + 0.03x

Solving for variable 'x'.

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

Add '-0.03x' to each side of the equation.
-1.8 + 0.73x + -0.03x = -0.05 + 0.03x + -0.03x

Combine like terms: 0.73x + -0.03x = 0.7x
-1.8 + 0.7x = -0.05 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-1.8 + 0.7x = -0.05 + 0.00
-1.8 + 0.7x = -0.05

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.7x = -0.05 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.7x = -0.05 + 1.8
0.7x = -0.05 + 1.8

Combine like terms: -0.05 + 1.8 = 1.75
0.7x = 1.75

Divide each side by '0.7'.
x = 2.5

Simplifying
x = 2.5

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