0.90x+0.05(4-x)=0.10(70)

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Solution for 0.90x+0.05(4-x)=0.10(70) equation:


Simplifying
0.90x + 0.05(4 + -1x) = 0.10(70)
0.90x + (4 * 0.05 + -1x * 0.05) = 0.10(70)
0.90x + (0.2 + -0.05x) = 0.10(70)

Reorder the terms:
0.2 + 0.90x + -0.05x = 0.10(70)

Combine like terms: 0.90x + -0.05x = 0.85x
0.2 + 0.85x = 0.10(70)

Multiply 0.10 * 70
0.2 + 0.85x = 7

Solving
0.2 + 0.85x = 7

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.85x = 7 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.85x = 7 + -0.2
0.85x = 7 + -0.2

Combine like terms: 7 + -0.2 = 6.8
0.85x = 6.8

Divide each side by '0.85'.
x = 8

Simplifying
x = 8

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