.19x+.5(x-5)=.01(3x-4)

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Solution for .19x+.5(x-5)=.01(3x-4) equation:


Simplifying
0.19x + 0.5(x + -5) = 0.01(3x + -4)

Reorder the terms:
0.19x + 0.5(-5 + x) = 0.01(3x + -4)
0.19x + (-5 * 0.5 + x * 0.5) = 0.01(3x + -4)
0.19x + (-2.5 + 0.5x) = 0.01(3x + -4)

Reorder the terms:
-2.5 + 0.19x + 0.5x = 0.01(3x + -4)

Combine like terms: 0.19x + 0.5x = 0.69x
-2.5 + 0.69x = 0.01(3x + -4)

Reorder the terms:
-2.5 + 0.69x = 0.01(-4 + 3x)
-2.5 + 0.69x = (-4 * 0.01 + 3x * 0.01)
-2.5 + 0.69x = (-0.04 + 0.03x)

Solving
-2.5 + 0.69x = -0.04 + 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.
-2.5 + 0.69x + -0.03x = -0.04 + 0.03x + -0.03x

Combine like terms: 0.69x + -0.03x = 0.66x
-2.5 + 0.66x = -0.04 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-2.5 + 0.66x = -0.04 + 0.00
-2.5 + 0.66x = -0.04

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 0.66x = -0.04 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 0.66x = -0.04 + 2.5
0.66x = -0.04 + 2.5

Combine like terms: -0.04 + 2.5 = 2.46
0.66x = 2.46

Divide each side by '0.66'.
x = 3.727272727

Simplifying
x = 3.727272727

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