0.5(x-2)-0.15(x+3)=2.4

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Solution for 0.5(x-2)-0.15(x+3)=2.4 equation:


Simplifying
0.5(x + -2) + -0.15(x + 3) = 2.4

Reorder the terms:
0.5(-2 + x) + -0.15(x + 3) = 2.4
(-2 * 0.5 + x * 0.5) + -0.15(x + 3) = 2.4
(-1 + 0.5x) + -0.15(x + 3) = 2.4

Reorder the terms:
-1 + 0.5x + -0.15(3 + x) = 2.4
-1 + 0.5x + (3 * -0.15 + x * -0.15) = 2.4
-1 + 0.5x + (-0.45 + -0.15x) = 2.4

Reorder the terms:
-1 + -0.45 + 0.5x + -0.15x = 2.4

Combine like terms: -1 + -0.45 = -1.45
-1.45 + 0.5x + -0.15x = 2.4

Combine like terms: 0.5x + -0.15x = 0.35x
-1.45 + 0.35x = 2.4

Solving
-1.45 + 0.35x = 2.4

Solving for variable 'x'.

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

Add '1.45' to each side of the equation.
-1.45 + 1.45 + 0.35x = 2.4 + 1.45

Combine like terms: -1.45 + 1.45 = 0.00
0.00 + 0.35x = 2.4 + 1.45
0.35x = 2.4 + 1.45

Combine like terms: 2.4 + 1.45 = 3.85
0.35x = 3.85

Divide each side by '0.35'.
x = 11

Simplifying
x = 11

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