4x-(7x+9)=3x-27

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Solution for 4x-(7x+9)=3x-27 equation:


Simplifying
4x + -1(7x + 9) = 3x + -27

Reorder the terms:
4x + -1(9 + 7x) = 3x + -27
4x + (9 * -1 + 7x * -1) = 3x + -27
4x + (-9 + -7x) = 3x + -27

Reorder the terms:
-9 + 4x + -7x = 3x + -27

Combine like terms: 4x + -7x = -3x
-9 + -3x = 3x + -27

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

Solving
-9 + -3x = -27 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + -3x + -3x = -27 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-9 + -6x = -27 + 0
-9 + -6x = -27

Add '9' to each side of the equation.
-9 + 9 + -6x = -27 + 9

Combine like terms: -9 + 9 = 0
0 + -6x = -27 + 9
-6x = -27 + 9

Combine like terms: -27 + 9 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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