0.05(x+30)-0.07(x-60)=6.3

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Solution for 0.05(x+30)-0.07(x-60)=6.3 equation:


Simplifying
0.05(x + 30) + -0.07(x + -60) = 6.3

Reorder the terms:
0.05(30 + x) + -0.07(x + -60) = 6.3
(30 * 0.05 + x * 0.05) + -0.07(x + -60) = 6.3
(1.5 + 0.05x) + -0.07(x + -60) = 6.3

Reorder the terms:
1.5 + 0.05x + -0.07(-60 + x) = 6.3
1.5 + 0.05x + (-60 * -0.07 + x * -0.07) = 6.3
1.5 + 0.05x + (4.2 + -0.07x) = 6.3

Reorder the terms:
1.5 + 4.2 + 0.05x + -0.07x = 6.3

Combine like terms: 1.5 + 4.2 = 5.7
5.7 + 0.05x + -0.07x = 6.3

Combine like terms: 0.05x + -0.07x = -0.02x
5.7 + -0.02x = 6.3

Solving
5.7 + -0.02x = 6.3

Solving for variable 'x'.

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

Add '-5.7' to each side of the equation.
5.7 + -5.7 + -0.02x = 6.3 + -5.7

Combine like terms: 5.7 + -5.7 = 0.0
0.0 + -0.02x = 6.3 + -5.7
-0.02x = 6.3 + -5.7

Combine like terms: 6.3 + -5.7 = 0.6
-0.02x = 0.6

Divide each side by '-0.02'.
x = -30

Simplifying
x = -30

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