100(0.07x+0.04(70))=100(0.05(x+70))

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Solution for 100(0.07x+0.04(70))=100(0.05(x+70)) equation:


Simplifying
100(0.07x + 0.04(70)) = 100(0.05(x + 70))

Multiply 0.04 * 70
100(0.07x + 2.8) = 100(0.05(x + 70))

Reorder the terms:
100(2.8 + 0.07x) = 100(0.05(x + 70))
(2.8 * 100 + 0.07x * 100) = 100(0.05(x + 70))
(280 + 7x) = 100(0.05(x + 70))

Reorder the terms:
280 + 7x = 100(0.05(70 + x))
280 + 7x = 100((70 * 0.05 + x * 0.05))
280 + 7x = 100((3.5 + 0.05x))
280 + 7x = (3.5 * 100 + 0.05x * 100)
280 + 7x = (350 + 5x)

Solving
280 + 7x = 350 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
280 + 7x + -5x = 350 + 5x + -5x

Combine like terms: 7x + -5x = 2x
280 + 2x = 350 + 5x + -5x

Combine like terms: 5x + -5x = 0
280 + 2x = 350 + 0
280 + 2x = 350

Add '-280' to each side of the equation.
280 + -280 + 2x = 350 + -280

Combine like terms: 280 + -280 = 0
0 + 2x = 350 + -280
2x = 350 + -280

Combine like terms: 350 + -280 = 70
2x = 70

Divide each side by '2'.
x = 35

Simplifying
x = 35

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