0.25(x+30)-0.06(x-10)=-1.4

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Solution for 0.25(x+30)-0.06(x-10)=-1.4 equation:


Simplifying
0.25(x + 30) + -0.06(x + -10) = -1.4

Reorder the terms:
0.25(30 + x) + -0.06(x + -10) = -1.4
(30 * 0.25 + x * 0.25) + -0.06(x + -10) = -1.4
(7.5 + 0.25x) + -0.06(x + -10) = -1.4

Reorder the terms:
7.5 + 0.25x + -0.06(-10 + x) = -1.4
7.5 + 0.25x + (-10 * -0.06 + x * -0.06) = -1.4
7.5 + 0.25x + (0.6 + -0.06x) = -1.4

Reorder the terms:
7.5 + 0.6 + 0.25x + -0.06x = -1.4

Combine like terms: 7.5 + 0.6 = 8.1
8.1 + 0.25x + -0.06x = -1.4

Combine like terms: 0.25x + -0.06x = 0.19x
8.1 + 0.19x = -1.4

Solving
8.1 + 0.19x = -1.4

Solving for variable 'x'.

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

Add '-8.1' to each side of the equation.
8.1 + -8.1 + 0.19x = -1.4 + -8.1

Combine like terms: 8.1 + -8.1 = 0.0
0.0 + 0.19x = -1.4 + -8.1
0.19x = -1.4 + -8.1

Combine like terms: -1.4 + -8.1 = -9.5
0.19x = -9.5

Divide each side by '0.19'.
x = -50

Simplifying
x = -50

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