0.13-0.02(x+1)=-0.03(3-x)

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Solution for 0.13-0.02(x+1)=-0.03(3-x) equation: 


Simplifying
0.13 + -0.02(x + 1) = -0.03(3 + -1x)

Reorder the terms:
0.13 + -0.02(1 + x) = -0.03(3 + -1x)
0.13 + (1 * -0.02 + x * -0.02) = -0.03(3 + -1x)
0.13 + (-0.02 + -0.02x) = -0.03(3 + -1x)

Combine like terms: 0.13 + -0.02 = 0.11
0.11 + -0.02x = -0.03(3 + -1x)
0.11 + -0.02x = (3 * -0.03 + -1x * -0.03)
0.11 + -0.02x = (-0.09 + 0.03x)

Solving
0.11 + -0.02x = -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.
0.11 + -0.02x + -0.03x = -0.09 + 0.03x + -0.03x

Combine like terms: -0.02x + -0.03x = -0.05x
0.11 + -0.05x = -0.09 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
0.11 + -0.05x = -0.09 + 0.00
0.11 + -0.05x = -0.09

Add '-0.11' to each side of the equation.
0.11 + -0.11 + -0.05x = -0.09 + -0.11

Combine like terms: 0.11 + -0.11 = 0.00
0.00 + -0.05x = -0.09 + -0.11
-0.05x = -0.09 + -0.11

Combine like terms: -0.09 + -0.11 = -0.2
-0.05x = -0.2

Divide each side by '-0.05'.
x = 4

Simplifying
x = 4

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