0.15x+0.2(x-4)=0.01(5x-3)

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Solution for 0.15x+0.2(x-4)=0.01(5x-3) equation:


Simplifying
0.15x + 0.2(x + -4) = 0.01(5x + -3)

Reorder the terms:
0.15x + 0.2(-4 + x) = 0.01(5x + -3)
0.15x + (-4 * 0.2 + x * 0.2) = 0.01(5x + -3)
0.15x + (-0.8 + 0.2x) = 0.01(5x + -3)

Reorder the terms:
-0.8 + 0.15x + 0.2x = 0.01(5x + -3)

Combine like terms: 0.15x + 0.2x = 0.35x
-0.8 + 0.35x = 0.01(5x + -3)

Reorder the terms:
-0.8 + 0.35x = 0.01(-3 + 5x)
-0.8 + 0.35x = (-3 * 0.01 + 5x * 0.01)
-0.8 + 0.35x = (-0.03 + 0.05x)

Solving
-0.8 + 0.35x = -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.
-0.8 + 0.35x + -0.05x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.35x + -0.05x = 0.3x
-0.8 + 0.3x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-0.8 + 0.3x = -0.03 + 0.00
-0.8 + 0.3x = -0.03

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.3x = -0.03 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.3x = -0.03 + 0.8
0.3x = -0.03 + 0.8

Combine like terms: -0.03 + 0.8 = 0.77
0.3x = 0.77

Divide each side by '0.3'.
x = 2.566666667

Simplifying
x = 2.566666667

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