6-(3x-5)=7x-9

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Solution for 6-(3x-5)=7x-9 equation:


Simplifying
6 + -1(3x + -5) = 7x + -9

Reorder the terms:
6 + -1(-5 + 3x) = 7x + -9
6 + (-5 * -1 + 3x * -1) = 7x + -9
6 + (5 + -3x) = 7x + -9

Combine like terms: 6 + 5 = 11
11 + -3x = 7x + -9

Reorder the terms:
11 + -3x = -9 + 7x

Solving
11 + -3x = -9 + 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 + -3x + -7x = -9 + 7x + -7x

Combine like terms: -3x + -7x = -10x
11 + -10x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
11 + -10x = -9 + 0
11 + -10x = -9

Add '-11' to each side of the equation.
11 + -11 + -10x = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -10x = -9 + -11
-10x = -9 + -11

Combine like terms: -9 + -11 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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