0.08(x-10)=4.6-0.06(x+20)

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Solution for 0.08(x-10)=4.6-0.06(x+20) equation: 


Simplifying
0.08(x + -10) = 4.6 + -0.06(x + 20)

Reorder the terms:
0.08(-10 + x) = 4.6 + -0.06(x + 20)
(-10 * 0.08 + x * 0.08) = 4.6 + -0.06(x + 20)
(-0.8 + 0.08x) = 4.6 + -0.06(x + 20)

Reorder the terms:
-0.8 + 0.08x = 4.6 + -0.06(20 + x)
-0.8 + 0.08x = 4.6 + (20 * -0.06 + x * -0.06)
-0.8 + 0.08x = 4.6 + (-1.2 + -0.06x)

Combine like terms: 4.6 + -1.2 = 3.4
-0.8 + 0.08x = 3.4 + -0.06x

Solving
-0.8 + 0.08x = 3.4 + -0.06x

Solving for variable 'x'.

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

Add '0.06x' to each side of the equation.
-0.8 + 0.08x + 0.06x = 3.4 + -0.06x + 0.06x

Combine like terms: 0.08x + 0.06x = 0.14x
-0.8 + 0.14x = 3.4 + -0.06x + 0.06x

Combine like terms: -0.06x + 0.06x = 0.00
-0.8 + 0.14x = 3.4 + 0.00
-0.8 + 0.14x = 3.4

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.14x = 3.4 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.14x = 3.4 + 0.8
0.14x = 3.4 + 0.8

Combine like terms: 3.4 + 0.8 = 4.2
0.14x = 4.2

Divide each side by '0.14'.
x = 30

Simplifying
x = 30

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