0.03(x-4)=0.02(x+6)

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Solution for 0.03(x-4)=0.02(x+6) equation: 


Simplifying
0.03(x + -4) = 0.02(x + 6)

Reorder the terms:
0.03(-4 + x) = 0.02(x + 6)
(-4 * 0.03 + x * 0.03) = 0.02(x + 6)
(-0.12 + 0.03x) = 0.02(x + 6)

Reorder the terms:
-0.12 + 0.03x = 0.02(6 + x)
-0.12 + 0.03x = (6 * 0.02 + x * 0.02)
-0.12 + 0.03x = (0.12 + 0.02x)

Solving
-0.12 + 0.03x = 0.12 + 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 + 0.03x + -0.02x = 0.12 + 0.02x + -0.02x

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

Combine like terms: 0.02x + -0.02x = 0.00
-0.12 + 0.01x = 0.12 + 0.00
-0.12 + 0.01x = 0.12

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

Combine like terms: -0.12 + 0.12 = 0.00
0.00 + 0.01x = 0.12 + 0.12
0.01x = 0.12 + 0.12

Combine like terms: 0.12 + 0.12 = 0.24
0.01x = 0.24

Divide each side by '0.01'.
x = 24

Simplifying
x = 24

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