9x-(7x-3)=6x-27

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Solution for 9x-(7x-3)=6x-27 equation:


Simplifying
9x + -1(7x + -3) = 6x + -27

Reorder the terms:
9x + -1(-3 + 7x) = 6x + -27
9x + (-3 * -1 + 7x * -1) = 6x + -27
9x + (3 + -7x) = 6x + -27

Reorder the terms:
3 + 9x + -7x = 6x + -27

Combine like terms: 9x + -7x = 2x
3 + 2x = 6x + -27

Reorder the terms:
3 + 2x = -27 + 6x

Solving
3 + 2x = -27 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + 2x + -6x = -27 + 6x + -6x

Combine like terms: 2x + -6x = -4x
3 + -4x = -27 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -4x = -27 + 0
3 + -4x = -27

Add '-3' to each side of the equation.
3 + -3 + -4x = -27 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -27 + -3
-4x = -27 + -3

Combine like terms: -27 + -3 = -30
-4x = -30

Divide each side by '-4'.
x = 7.5

Simplifying
x = 7.5

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