0.05(x+50)-0.02(x-10)=4.2

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Solution for 0.05(x+50)-0.02(x-10)=4.2 equation: 


Simplifying
0.05(x + 50) + -0.02(x + -10) = 4.2

Reorder the terms:
0.05(50 + x) + -0.02(x + -10) = 4.2
(50 * 0.05 + x * 0.05) + -0.02(x + -10) = 4.2
(2.5 + 0.05x) + -0.02(x + -10) = 4.2

Reorder the terms:
2.5 + 0.05x + -0.02(-10 + x) = 4.2
2.5 + 0.05x + (-10 * -0.02 + x * -0.02) = 4.2
2.5 + 0.05x + (0.2 + -0.02x) = 4.2

Reorder the terms:
2.5 + 0.2 + 0.05x + -0.02x = 4.2

Combine like terms: 2.5 + 0.2 = 2.7
2.7 + 0.05x + -0.02x = 4.2

Combine like terms: 0.05x + -0.02x = 0.03x
2.7 + 0.03x = 4.2

Solving
2.7 + 0.03x = 4.2

Solving for variable 'x'.

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

Add '-2.7' to each side of the equation.
2.7 + -2.7 + 0.03x = 4.2 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + 0.03x = 4.2 + -2.7
0.03x = 4.2 + -2.7

Combine like terms: 4.2 + -2.7 = 1.5
0.03x = 1.5

Divide each side by '0.03'.
x = 50

Simplifying
x = 50

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