.13-0.01(x+1)=-0.02(3-x)

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Solution for .13-0.01(x+1)=-0.02(3-x) equation: 


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

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

Combine like terms: 0.13 + -0.01 = 0.12
0.12 + -0.01x = -0.02(3 + -1x)
0.12 + -0.01x = (3 * -0.02 + -1x * -0.02)
0.12 + -0.01x = (-0.06 + 0.02x)

Solving
0.12 + -0.01x = -0.06 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
0.12 + -0.01x + -0.02x = -0.06 + 0.02x + -0.02x

Combine like terms: -0.01x + -0.02x = -0.03x
0.12 + -0.03x = -0.06 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
0.12 + -0.03x = -0.06 + 0.00
0.12 + -0.03x = -0.06

Add '-0.12' to each side of the equation.
0.12 + -0.12 + -0.03x = -0.06 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + -0.03x = -0.06 + -0.12
-0.03x = -0.06 + -0.12

Combine like terms: -0.06 + -0.12 = -0.18
-0.03x = -0.18

Divide each side by '-0.03'.
x = 6

Simplifying
x = 6

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