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 = 15.7
15.7 + 0.3x + -0.07x = 4.2

Combine like terms: 0.3x + -0.07x = 0.23x
15.7 + 0.23x = 4.2

Solving
15.7 + 0.23x = 4.2

Solving for variable 'x'.

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

Add '-15.7' to each side of the equation.
15.7 + -15.7 + 0.23x = 4.2 + -15.7

Combine like terms: 15.7 + -15.7 = 0.0
0.0 + 0.23x = 4.2 + -15.7
0.23x = 4.2 + -15.7

Combine like terms: 4.2 + -15.7 = -11.5
0.23x = -11.5

Divide each side by '0.23'.
x = -50

Simplifying
x = -50

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