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

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


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

Reorder the terms:
0.13 + -0.02(3 + x) = -0.01(2 + -1x)
0.13 + (3 * -0.02 + x * -0.02) = -0.01(2 + -1x)
0.13 + (-0.06 + -0.02x) = -0.01(2 + -1x)

Combine like terms: 0.13 + -0.06 = 0.07
0.07 + -0.02x = -0.01(2 + -1x)
0.07 + -0.02x = (2 * -0.01 + -1x * -0.01)
0.07 + -0.02x = (-0.02 + 0.01x)

Solving
0.07 + -0.02x = -0.02 + 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.
0.07 + -0.02x + -0.01x = -0.02 + 0.01x + -0.01x

Combine like terms: -0.02x + -0.01x = -0.03x
0.07 + -0.03x = -0.02 + 0.01x + -0.01x

Combine like terms: 0.01x + -0.01x = 0.00
0.07 + -0.03x = -0.02 + 0.00
0.07 + -0.03x = -0.02

Add '-0.07' to each side of the equation.
0.07 + -0.07 + -0.03x = -0.02 + -0.07

Combine like terms: 0.07 + -0.07 = 0.00
0.00 + -0.03x = -0.02 + -0.07
-0.03x = -0.02 + -0.07

Combine like terms: -0.02 + -0.07 = -0.09
-0.03x = -0.09

Divide each side by '-0.03'.
x = 3

Simplifying
x = 3

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