14-(x-9)=10+5x-(7x-5)

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Solution for 14-(x-9)=10+5x-(7x-5) equation:


Simplifying
14 + -1(x + -9) = 10 + 5x + -1(7x + -5)

Reorder the terms:
14 + -1(-9 + x) = 10 + 5x + -1(7x + -5)
14 + (-9 * -1 + x * -1) = 10 + 5x + -1(7x + -5)
14 + (9 + -1x) = 10 + 5x + -1(7x + -5)

Combine like terms: 14 + 9 = 23
23 + -1x = 10 + 5x + -1(7x + -5)

Reorder the terms:
23 + -1x = 10 + 5x + -1(-5 + 7x)
23 + -1x = 10 + 5x + (-5 * -1 + 7x * -1)
23 + -1x = 10 + 5x + (5 + -7x)

Reorder the terms:
23 + -1x = 10 + 5 + 5x + -7x

Combine like terms: 10 + 5 = 15
23 + -1x = 15 + 5x + -7x

Combine like terms: 5x + -7x = -2x
23 + -1x = 15 + -2x

Solving
23 + -1x = 15 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
23 + -1x + 2x = 15 + -2x + 2x

Combine like terms: -1x + 2x = 1x
23 + 1x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
23 + 1x = 15 + 0
23 + 1x = 15

Add '-23' to each side of the equation.
23 + -23 + 1x = 15 + -23

Combine like terms: 23 + -23 = 0
0 + 1x = 15 + -23
1x = 15 + -23

Combine like terms: 15 + -23 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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