0.02(5-x)=0.03(x+7)-0.01

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Solution for 0.02(5-x)=0.03(x+7)-0.01 equation: 


Simplifying
0.02(5 + -1x) = 0.03(x + 7) + -0.01
(5 * 0.02 + -1x * 0.02) = 0.03(x + 7) + -0.01
(0.1 + -0.02x) = 0.03(x + 7) + -0.01

Reorder the terms:
0.1 + -0.02x = 0.03(7 + x) + -0.01
0.1 + -0.02x = (7 * 0.03 + x * 0.03) + -0.01
0.1 + -0.02x = (0.21 + 0.03x) + -0.01

Reorder the terms:
0.1 + -0.02x = 0.21 + -0.01 + 0.03x

Combine like terms: 0.21 + -0.01 = 0.2
0.1 + -0.02x = 0.2 + 0.03x

Solving
0.1 + -0.02x = 0.2 + 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.
0.1 + -0.02x + -0.03x = 0.2 + 0.03x + -0.03x

Combine like terms: -0.02x + -0.03x = -0.05x
0.1 + -0.05x = 0.2 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
0.1 + -0.05x = 0.2 + 0.00
0.1 + -0.05x = 0.2

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.05x = 0.2 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.05x = 0.2 + -0.1
-0.05x = 0.2 + -0.1

Combine like terms: 0.2 + -0.1 = 0.1
-0.05x = 0.1

Divide each side by '-0.05'.
x = -2

Simplifying
x = -2

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