6-(2x-5)=-(7x+4)

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Solution for 6-(2x-5)=-(7x+4) equation:


Simplifying
6 + -1(2x + -5) = -1(7x + 4)

Reorder the terms:
6 + -1(-5 + 2x) = -1(7x + 4)
6 + (-5 * -1 + 2x * -1) = -1(7x + 4)
6 + (5 + -2x) = -1(7x + 4)

Combine like terms: 6 + 5 = 11
11 + -2x = -1(7x + 4)

Reorder the terms:
11 + -2x = -1(4 + 7x)
11 + -2x = (4 * -1 + 7x * -1)
11 + -2x = (-4 + -7x)

Solving
11 + -2x = -4 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
11 + -2x + 7x = -4 + -7x + 7x

Combine like terms: -2x + 7x = 5x
11 + 5x = -4 + -7x + 7x

Combine like terms: -7x + 7x = 0
11 + 5x = -4 + 0
11 + 5x = -4

Add '-11' to each side of the equation.
11 + -11 + 5x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = -4 + -11
5x = -4 + -11

Combine like terms: -4 + -11 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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