0.6(x-0.1)-0.5(x+4)=.34

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Solution for 0.6(x-0.1)-0.5(x+4)=.34 equation: 


Simplifying
0.6(x + -0.1) + -0.5(x + 4) = 0.34

Reorder the terms:
0.6(-0.1 + x) + -0.5(x + 4) = 0.34
(-0.1 * 0.6 + x * 0.6) + -0.5(x + 4) = 0.34
(-0.06 + 0.6x) + -0.5(x + 4) = 0.34

Reorder the terms:
-0.06 + 0.6x + -0.5(4 + x) = 0.34
-0.06 + 0.6x + (4 * -0.5 + x * -0.5) = 0.34
-0.06 + 0.6x + (-2 + -0.5x) = 0.34

Reorder the terms:
-0.06 + -2 + 0.6x + -0.5x = 0.34

Combine like terms: -0.06 + -2 = -2.06
-2.06 + 0.6x + -0.5x = 0.34

Combine like terms: 0.6x + -0.5x = 0.1x
-2.06 + 0.1x = 0.34

Solving
-2.06 + 0.1x = 0.34

Solving for variable 'x'.

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

Add '2.06' to each side of the equation.
-2.06 + 2.06 + 0.1x = 0.34 + 2.06

Combine like terms: -2.06 + 2.06 = 0.00
0.00 + 0.1x = 0.34 + 2.06
0.1x = 0.34 + 2.06

Combine like terms: 0.34 + 2.06 = 2.4
0.1x = 2.4

Divide each side by '0.1'.
x = 24

Simplifying
x = 24

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