0.13-0.02(x+2)=-0.01(3-x)

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Solution for 0.13-0.02(x+2)=-0.01(3-x) equation:


Simplifying
0.13 + -0.02(x + 2) = -0.01(3 + -1x)

Reorder the terms:
0.13 + -0.02(2 + x) = -0.01(3 + -1x)
0.13 + (2 * -0.02 + x * -0.02) = -0.01(3 + -1x)
0.13 + (-0.04 + -0.02x) = -0.01(3 + -1x)

Combine like terms: 0.13 + -0.04 = 0.09
0.09 + -0.02x = -0.01(3 + -1x)
0.09 + -0.02x = (3 * -0.01 + -1x * -0.01)
0.09 + -0.02x = (-0.03 + 0.01x)

Solving
0.09 + -0.02x = -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.
0.09 + -0.02x + -0.01x = -0.03 + 0.01x + -0.01x

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

Combine like terms: 0.01x + -0.01x = 0.00
0.09 + -0.03x = -0.03 + 0.00
0.09 + -0.03x = -0.03

Add '-0.09' to each side of the equation.
0.09 + -0.09 + -0.03x = -0.03 + -0.09

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

Combine like terms: -0.03 + -0.09 = -0.12
-0.03x = -0.12

Divide each side by '-0.03'.
x = 4

Simplifying
x = 4

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