0.14x+0.5(x-1)=0.01(4x-5)

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Solution for 0.14x+0.5(x-1)=0.01(4x-5) equation:


Simplifying
0.14x + 0.5(x + -1) = 0.01(4x + -5)

Reorder the terms:
0.14x + 0.5(-1 + x) = 0.01(4x + -5)
0.14x + (-1 * 0.5 + x * 0.5) = 0.01(4x + -5)
0.14x + (-0.5 + 0.5x) = 0.01(4x + -5)

Reorder the terms:
-0.5 + 0.14x + 0.5x = 0.01(4x + -5)

Combine like terms: 0.14x + 0.5x = 0.64x
-0.5 + 0.64x = 0.01(4x + -5)

Reorder the terms:
-0.5 + 0.64x = 0.01(-5 + 4x)
-0.5 + 0.64x = (-5 * 0.01 + 4x * 0.01)
-0.5 + 0.64x = (-0.05 + 0.04x)

Solving
-0.5 + 0.64x = -0.05 + 0.04x

Solving for variable 'x'.

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

Add '-0.04x' to each side of the equation.
-0.5 + 0.64x + -0.04x = -0.05 + 0.04x + -0.04x

Combine like terms: 0.64x + -0.04x = 0.6x
-0.5 + 0.6x = -0.05 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
-0.5 + 0.6x = -0.05 + 0.00
-0.5 + 0.6x = -0.05

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.6x = -0.05 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.6x = -0.05 + 0.5
0.6x = -0.05 + 0.5

Combine like terms: -0.05 + 0.5 = 0.45
0.6x = 0.45

Divide each side by '0.6'.
x = 0.75

Simplifying
x = 0.75

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