0.3(x+50)-0.07(x+10)=4.2

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Solution for 0.3(x+50)-0.07(x+10)=4.2 equation: 


Simplifying
0.3(x + 50) + -0.07(x + 10) = 4.2

Reorder the terms:
0.3(50 + x) + -0.07(x + 10) = 4.2
(50 * 0.3 + x * 0.3) + -0.07(x + 10) = 4.2
(15 + 0.3x) + -0.07(x + 10) = 4.2

Reorder the terms:
15 + 0.3x + -0.07(10 + x) = 4.2
15 + 0.3x + (10 * -0.07 + x * -0.07) = 4.2
15 + 0.3x + (-0.7 + -0.07x) = 4.2

Reorder the terms:
15 + -0.7 + 0.3x + -0.07x = 4.2

Combine like terms: 15 + -0.7 = 14.3
14.3 + 0.3x + -0.07x = 4.2

Combine like terms: 0.3x + -0.07x = 0.23x
14.3 + 0.23x = 4.2

Solving
14.3 + 0.23x = 4.2

Solving for variable 'x'.

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

Add '-14.3' to each side of the equation.
14.3 + -14.3 + 0.23x = 4.2 + -14.3

Combine like terms: 14.3 + -14.3 = 0.0
0.0 + 0.23x = 4.2 + -14.3
0.23x = 4.2 + -14.3

Combine like terms: 4.2 + -14.3 = -10.1
0.23x = -10.1

Divide each side by '0.23'.
x = -43.91304348

Simplifying
x = -43.91304348

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