0.13x+0.3(x-3)=0.01(5x-3)

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Solution for 0.13x+0.3(x-3)=0.01(5x-3) equation:


Simplifying
0.13x + 0.3(x + -3) = 0.01(5x + -3)

Reorder the terms:
0.13x + 0.3(-3 + x) = 0.01(5x + -3)
0.13x + (-3 * 0.3 + x * 0.3) = 0.01(5x + -3)
0.13x + (-0.9 + 0.3x) = 0.01(5x + -3)

Reorder the terms:
-0.9 + 0.13x + 0.3x = 0.01(5x + -3)

Combine like terms: 0.13x + 0.3x = 0.43x
-0.9 + 0.43x = 0.01(5x + -3)

Reorder the terms:
-0.9 + 0.43x = 0.01(-3 + 5x)
-0.9 + 0.43x = (-3 * 0.01 + 5x * 0.01)
-0.9 + 0.43x = (-0.03 + 0.05x)

Solving
-0.9 + 0.43x = -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.
-0.9 + 0.43x + -0.05x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.43x + -0.05x = 0.38x
-0.9 + 0.38x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-0.9 + 0.38x = -0.03 + 0.00
-0.9 + 0.38x = -0.03

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 0.38x = -0.03 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 0.38x = -0.03 + 0.9
0.38x = -0.03 + 0.9

Combine like terms: -0.03 + 0.9 = 0.87
0.38x = 0.87

Divide each side by '0.38'.
x = 2.289473684

Simplifying
x = 2.289473684

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