0.04x-0.05(x-1)=0.01(x-3)

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Solution for 0.04x-0.05(x-1)=0.01(x-3) equation: 


Simplifying
0.04x + -0.05(x + -1) = 0.01(x + -3)

Reorder the terms:
0.04x + -0.05(-1 + x) = 0.01(x + -3)
0.04x + (-1 * -0.05 + x * -0.05) = 0.01(x + -3)
0.04x + (0.05 + -0.05x) = 0.01(x + -3)

Reorder the terms:
0.05 + 0.04x + -0.05x = 0.01(x + -3)

Combine like terms: 0.04x + -0.05x = -0.01x
0.05 + -0.01x = 0.01(x + -3)

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

Solving
0.05 + -0.01x = -0.03 + 0.01x

Solving for variable 'x'.

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

Add '-0.01x' to each side of the equation.
0.05 + -0.01x + -0.01x = -0.03 + 0.01x + -0.01x

Combine like terms: -0.01x + -0.01x = -0.02x
0.05 + -0.02x = -0.03 + 0.01x + -0.01x

Combine like terms: 0.01x + -0.01x = 0.00
0.05 + -0.02x = -0.03 + 0.00
0.05 + -0.02x = -0.03

Add '-0.05' to each side of the equation.
0.05 + -0.05 + -0.02x = -0.03 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + -0.02x = -0.03 + -0.05
-0.02x = -0.03 + -0.05

Combine like terms: -0.03 + -0.05 = -0.08
-0.02x = -0.08

Divide each side by '-0.02'.
x = 4

Simplifying
x = 4

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