0.15(25)+0.20x=(25+x)0.16

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Solution for 0.15(25)+0.20x=(25+x)0.16 equation:


Simplifying
0.15(25) + 0.20x = (25 + x) * 0.16

Multiply 0.15 * 25
3.75 + 0.20x = (25 + x) * 0.16

Reorder the terms for easier multiplication:
3.75 + 0.20x = 0.16(25 + x)
3.75 + 0.20x = (25 * 0.16 + x * 0.16)
3.75 + 0.20x = (4 + 0.16x)

Solving
3.75 + 0.20x = 4 + 0.16x

Solving for variable 'x'.

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

Add '-0.16x' to each side of the equation.
3.75 + 0.20x + -0.16x = 4 + 0.16x + -0.16x

Combine like terms: 0.20x + -0.16x = 0.04x
3.75 + 0.04x = 4 + 0.16x + -0.16x

Combine like terms: 0.16x + -0.16x = 0.00
3.75 + 0.04x = 4 + 0.00
3.75 + 0.04x = 4

Add '-3.75' to each side of the equation.
3.75 + -3.75 + 0.04x = 4 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 0.04x = 4 + -3.75
0.04x = 4 + -3.75

Combine like terms: 4 + -3.75 = 0.25
0.04x = 0.25

Divide each side by '0.04'.
x = 6.25

Simplifying
x = 6.25

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