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

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


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

Reorder the terms:
0.06(20 + x) + -0.08(x + -10) = 4.6
(20 * 0.06 + x * 0.06) + -0.08(x + -10) = 4.6
(1.2 + 0.06x) + -0.08(x + -10) = 4.6

Reorder the terms:
1.2 + 0.06x + -0.08(-10 + x) = 4.6
1.2 + 0.06x + (-10 * -0.08 + x * -0.08) = 4.6
1.2 + 0.06x + (0.8 + -0.08x) = 4.6

Reorder the terms:
1.2 + 0.8 + 0.06x + -0.08x = 4.6

Combine like terms: 1.2 + 0.8 = 2
2 + 0.06x + -0.08x = 4.6

Combine like terms: 0.06x + -0.08x = -0.02x
2 + -0.02x = 4.6

Solving
2 + -0.02x = 4.6

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -0.02x = 4.6 + -2

Combine like terms: 2 + -2 = 0
0 + -0.02x = 4.6 + -2
-0.02x = 4.6 + -2

Combine like terms: 4.6 + -2 = 2.6
-0.02x = 2.6

Divide each side by '-0.02'.
x = -130

Simplifying
x = -130

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