0.25(x+3)-0.2(x-3)=2

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Solution for 0.25(x+3)-0.2(x-3)=2 equation:


Simplifying
0.25(x + 3) + -0.2(x + -3) = 2

Reorder the terms:
0.25(3 + x) + -0.2(x + -3) = 2
(3 * 0.25 + x * 0.25) + -0.2(x + -3) = 2
(0.75 + 0.25x) + -0.2(x + -3) = 2

Reorder the terms:
0.75 + 0.25x + -0.2(-3 + x) = 2
0.75 + 0.25x + (-3 * -0.2 + x * -0.2) = 2
0.75 + 0.25x + (0.6 + -0.2x) = 2

Reorder the terms:
0.75 + 0.6 + 0.25x + -0.2x = 2

Combine like terms: 0.75 + 0.6 = 1.35
1.35 + 0.25x + -0.2x = 2

Combine like terms: 0.25x + -0.2x = 0.05x
1.35 + 0.05x = 2

Solving
1.35 + 0.05x = 2

Solving for variable 'x'.

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

Add '-1.35' to each side of the equation.
1.35 + -1.35 + 0.05x = 2 + -1.35

Combine like terms: 1.35 + -1.35 = 0.00
0.00 + 0.05x = 2 + -1.35
0.05x = 2 + -1.35

Combine like terms: 2 + -1.35 = 0.65
0.05x = 0.65

Divide each side by '0.05'.
x = 13

Simplifying
x = 13

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