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

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Solution for 0.13-0.01(x+3)=-0.02(1-x) equation:


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

Reorder the terms:
0.13 + -0.01(3 + x) = -0.02(1 + -1x)
0.13 + (3 * -0.01 + x * -0.01) = -0.02(1 + -1x)
0.13 + (-0.03 + -0.01x) = -0.02(1 + -1x)

Combine like terms: 0.13 + -0.03 = 0.1
0.1 + -0.01x = -0.02(1 + -1x)
0.1 + -0.01x = (1 * -0.02 + -1x * -0.02)
0.1 + -0.01x = (-0.02 + 0.02x)

Solving
0.1 + -0.01x = -0.02 + 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.
0.1 + -0.01x + -0.02x = -0.02 + 0.02x + -0.02x

Combine like terms: -0.01x + -0.02x = -0.03x
0.1 + -0.03x = -0.02 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
0.1 + -0.03x = -0.02 + 0.00
0.1 + -0.03x = -0.02

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.03x = -0.02 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.03x = -0.02 + -0.1
-0.03x = -0.02 + -0.1

Combine like terms: -0.02 + -0.1 = -0.12
-0.03x = -0.12

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

Simplifying
x = 4

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