0.16-0.03(x+1)=0.01(3-x)

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Solution for 0.16-0.03(x+1)=0.01(3-x) equation:


Simplifying
0.16 + -0.03(x + 1) = 0.01(3 + -1x)

Reorder the terms:
0.16 + -0.03(1 + x) = 0.01(3 + -1x)
0.16 + (1 * -0.03 + x * -0.03) = 0.01(3 + -1x)
0.16 + (-0.03 + -0.03x) = 0.01(3 + -1x)

Combine like terms: 0.16 + -0.03 = 0.13
0.13 + -0.03x = 0.01(3 + -1x)
0.13 + -0.03x = (3 * 0.01 + -1x * 0.01)
0.13 + -0.03x = (0.03 + -0.01x)

Solving
0.13 + -0.03x = 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.
0.13 + -0.03x + 0.01x = 0.03 + -0.01x + 0.01x

Combine like terms: -0.03x + 0.01x = -0.02x
0.13 + -0.02x = 0.03 + -0.01x + 0.01x

Combine like terms: -0.01x + 0.01x = 0.00
0.13 + -0.02x = 0.03 + 0.00
0.13 + -0.02x = 0.03

Add '-0.13' to each side of the equation.
0.13 + -0.13 + -0.02x = 0.03 + -0.13

Combine like terms: 0.13 + -0.13 = 0.00
0.00 + -0.02x = 0.03 + -0.13
-0.02x = 0.03 + -0.13

Combine like terms: 0.03 + -0.13 = -0.1
-0.02x = -0.1

Divide each side by '-0.02'.
x = 5

Simplifying
x = 5

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