0.20(x)+0.25(8)=0.24(x+8)

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Solution for 0.20(x)+0.25(8)=0.24(x+8) equation:


Simplifying
0.20(x) + 0.25(8) = 0.24(x + 8)

Multiply 0.25 * 8
0.20x + 2 = 0.24(x + 8)

Reorder the terms:
2 + 0.20x = 0.24(x + 8)

Reorder the terms:
2 + 0.20x = 0.24(8 + x)
2 + 0.20x = (8 * 0.24 + x * 0.24)
2 + 0.20x = (1.92 + 0.24x)

Solving
2 + 0.20x = 1.92 + 0.24x

Solving for variable 'x'.

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

Add '-0.24x' to each side of the equation.
2 + 0.20x + -0.24x = 1.92 + 0.24x + -0.24x

Combine like terms: 0.20x + -0.24x = -0.04x
2 + -0.04x = 1.92 + 0.24x + -0.24x

Combine like terms: 0.24x + -0.24x = 0.00
2 + -0.04x = 1.92 + 0.00
2 + -0.04x = 1.92

Add '-2' to each side of the equation.
2 + -2 + -0.04x = 1.92 + -2

Combine like terms: 2 + -2 = 0
0 + -0.04x = 1.92 + -2
-0.04x = 1.92 + -2

Combine like terms: 1.92 + -2 = -0.08
-0.04x = -0.08

Divide each side by '-0.04'.
x = 2

Simplifying
x = 2

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