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

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


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

Reorder the terms:
0.19x + 0.5(-3 + x) = 0.01(5x + -3)
0.19x + (-3 * 0.5 + x * 0.5) = 0.01(5x + -3)
0.19x + (-1.5 + 0.5x) = 0.01(5x + -3)

Reorder the terms:
-1.5 + 0.19x + 0.5x = 0.01(5x + -3)

Combine like terms: 0.19x + 0.5x = 0.69x
-1.5 + 0.69x = 0.01(5x + -3)

Reorder the terms:
-1.5 + 0.69x = 0.01(-3 + 5x)
-1.5 + 0.69x = (-3 * 0.01 + 5x * 0.01)
-1.5 + 0.69x = (-0.03 + 0.05x)

Solving
-1.5 + 0.69x = -0.03 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
-1.5 + 0.69x + -0.05x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.69x + -0.05x = 0.64x
-1.5 + 0.64x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-1.5 + 0.64x = -0.03 + 0.00
-1.5 + 0.64x = -0.03

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.64x = -0.03 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.64x = -0.03 + 1.5
0.64x = -0.03 + 1.5

Combine like terms: -0.03 + 1.5 = 1.47
0.64x = 1.47

Divide each side by '0.64'.
x = 2.296875

Simplifying
x = 2.296875

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