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how do i solve this problem

Mathematics
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7x /4* 16/5x^3

Apr 21st, 2015

simplifying
7x + 16 = 5(x + -3)

Reorder the terms:
16 + 7x = 5(x + -3)

Reorder the terms:
16 + 7x = 5(-3 + x)
16 + 7x = (-3 * 5 + x * 5)
16 + 7x = (-15 + 5x)

Solving
16 + 7x = -15 + 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.
16 + 7x + -5x = -15 + 5x + -5x

Combine like terms: 7x + -5x = 2x
16 + 2x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + 2x = -15 + 0
16 + 2x = -15

Add '-16' to each side of the equation.
16 + -16 + 2x = -15 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = -15 + -16
2x = -15 + -16

Combine like terms: -15 + -16 = -31
2x = -31

Divide each side by '2'.
x = -15.5

Simplifying
x = -15.5

Apr 21st, 2015

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