0.09-0.01(x-1)=-0.03(4-x)

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Solution for 0.09-0.01(x-1)=-0.03(4-x) equation: 


Simplifying
0.09 + -0.01(x + -1) = -0.03(4 + -1x)

Reorder the terms:
0.09 + -0.01(-1 + x) = -0.03(4 + -1x)
0.09 + (-1 * -0.01 + x * -0.01) = -0.03(4 + -1x)
0.09 + (0.01 + -0.01x) = -0.03(4 + -1x)

Combine like terms: 0.09 + 0.01 = 0.1
0.1 + -0.01x = -0.03(4 + -1x)
0.1 + -0.01x = (4 * -0.03 + -1x * -0.03)
0.1 + -0.01x = (-0.12 + 0.03x)

Solving
0.1 + -0.01x = -0.12 + 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.
0.1 + -0.01x + -0.03x = -0.12 + 0.03x + -0.03x

Combine like terms: -0.01x + -0.03x = -0.04x
0.1 + -0.04x = -0.12 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
0.1 + -0.04x = -0.12 + 0.00
0.1 + -0.04x = -0.12

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.04x = -0.12 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.04x = -0.12 + -0.1
-0.04x = -0.12 + -0.1

Combine like terms: -0.12 + -0.1 = -0.22
-0.04x = -0.22

Divide each side by '-0.04'.
x = 5.5

Simplifying
x = 5.5

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