.13-0.01(x+1)=-0.04(2-x)

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Solution for .13-0.01(x+1)=-0.04(2-x) equation:


Simplifying
0.13 + -0.01(x + 1) = -0.04(2 + -1x)

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

Combine like terms: 0.13 + -0.01 = 0.12
0.12 + -0.01x = -0.04(2 + -1x)
0.12 + -0.01x = (2 * -0.04 + -1x * -0.04)
0.12 + -0.01x = (-0.08 + 0.04x)

Solving
0.12 + -0.01x = -0.08 + 0.04x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.04x' to each side of the equation.
0.12 + -0.01x + -0.04x = -0.08 + 0.04x + -0.04x

Combine like terms: -0.01x + -0.04x = -0.05x
0.12 + -0.05x = -0.08 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
0.12 + -0.05x = -0.08 + 0.00
0.12 + -0.05x = -0.08

Add '-0.12' to each side of the equation.
0.12 + -0.12 + -0.05x = -0.08 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + -0.05x = -0.08 + -0.12
-0.05x = -0.08 + -0.12

Combine like terms: -0.08 + -0.12 = -0.2
-0.05x = -0.2

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

Simplifying
x = 4

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