0.15x+0.4(x-1)=0.01(3x-5)

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Solution for 0.15x+0.4(x-1)=0.01(3x-5) equation:


Simplifying
0.15x + 0.4(x + -1) = 0.01(3x + -5)

Reorder the terms:
0.15x + 0.4(-1 + x) = 0.01(3x + -5)
0.15x + (-1 * 0.4 + x * 0.4) = 0.01(3x + -5)
0.15x + (-0.4 + 0.4x) = 0.01(3x + -5)

Reorder the terms:
-0.4 + 0.15x + 0.4x = 0.01(3x + -5)

Combine like terms: 0.15x + 0.4x = 0.55x
-0.4 + 0.55x = 0.01(3x + -5)

Reorder the terms:
-0.4 + 0.55x = 0.01(-5 + 3x)
-0.4 + 0.55x = (-5 * 0.01 + 3x * 0.01)
-0.4 + 0.55x = (-0.05 + 0.03x)

Solving
-0.4 + 0.55x = -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.
-0.4 + 0.55x + -0.03x = -0.05 + 0.03x + -0.03x

Combine like terms: 0.55x + -0.03x = 0.52x
-0.4 + 0.52x = -0.05 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-0.4 + 0.52x = -0.05 + 0.00
-0.4 + 0.52x = -0.05

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.52x = -0.05 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.52x = -0.05 + 0.4
0.52x = -0.05 + 0.4

Combine like terms: -0.05 + 0.4 = 0.35
0.52x = 0.35

Divide each side by '0.52'.
x = 0.6730769231

Simplifying
x = 0.6730769231

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