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

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


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

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

Combine like terms: 0.16 + -0.01 = 0.15
0.15 + -0.01x = 0.03(3 + -1x)
0.15 + -0.01x = (3 * 0.03 + -1x * 0.03)
0.15 + -0.01x = (0.09 + -0.03x)

Solving
0.15 + -0.01x = 0.09 + -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.
0.15 + -0.01x + 0.03x = 0.09 + -0.03x + 0.03x

Combine like terms: -0.01x + 0.03x = 0.02x
0.15 + 0.02x = 0.09 + -0.03x + 0.03x

Combine like terms: -0.03x + 0.03x = 0.00
0.15 + 0.02x = 0.09 + 0.00
0.15 + 0.02x = 0.09

Add '-0.15' to each side of the equation.
0.15 + -0.15 + 0.02x = 0.09 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + 0.02x = 0.09 + -0.15
0.02x = 0.09 + -0.15

Combine like terms: 0.09 + -0.15 = -0.06
0.02x = -0.06

Divide each side by '0.02'.
x = -3

Simplifying
x = -3

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