0.85x+0.05(20-x)=0.10(26)

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Solution for 0.85x+0.05(20-x)=0.10(26) equation:


Simplifying
0.85x + 0.05(20 + -1x) = 0.10(26)
0.85x + (20 * 0.05 + -1x * 0.05) = 0.10(26)
0.85x + (1 + -0.05x) = 0.10(26)

Reorder the terms:
1 + 0.85x + -0.05x = 0.10(26)

Combine like terms: 0.85x + -0.05x = 0.8x
1 + 0.8x = 0.10(26)

Multiply 0.10 * 26
1 + 0.8x = 2.6

Solving
1 + 0.8x = 2.6

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.8x = 2.6 + -1

Combine like terms: 1 + -1 = 0
0 + 0.8x = 2.6 + -1
0.8x = 2.6 + -1

Combine like terms: 2.6 + -1 = 1.6
0.8x = 1.6

Divide each side by '0.8'.
x = 2

Simplifying
x = 2

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