6-(5x+4)=16-7x

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Solution for 6-(5x+4)=16-7x equation:


Simplifying
6 + -1(5x + 4) = 16 + -7x

Reorder the terms:
6 + -1(4 + 5x) = 16 + -7x
6 + (4 * -1 + 5x * -1) = 16 + -7x
6 + (-4 + -5x) = 16 + -7x

Combine like terms: 6 + -4 = 2
2 + -5x = 16 + -7x

Solving
2 + -5x = 16 + -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.
2 + -5x + 7x = 16 + -7x + 7x

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

Combine like terms: -7x + 7x = 0
2 + 2x = 16 + 0
2 + 2x = 16

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

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

Combine like terms: 16 + -2 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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