7x-2(x-3)=9x-5

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Solution for 7x-2(x-3)=9x-5 equation:


Simplifying
7x + -2(x + -3) = 9x + -5

Reorder the terms:
7x + -2(-3 + x) = 9x + -5
7x + (-3 * -2 + x * -2) = 9x + -5
7x + (6 + -2x) = 9x + -5

Reorder the terms:
6 + 7x + -2x = 9x + -5

Combine like terms: 7x + -2x = 5x
6 + 5x = 9x + -5

Reorder the terms:
6 + 5x = -5 + 9x

Solving
6 + 5x = -5 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 5x + -9x = -5 + 9x + -9x

Combine like terms: 5x + -9x = -4x
6 + -4x = -5 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -4x = -5 + 0
6 + -4x = -5

Add '-6' to each side of the equation.
6 + -6 + -4x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -5 + -6
-4x = -5 + -6

Combine like terms: -5 + -6 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

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