7(2x-3)=5x-27

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Solution for 7(2x-3)=5x-27 equation:


Simplifying
7(2x + -3) = 5x + -27

Reorder the terms:
7(-3 + 2x) = 5x + -27
(-3 * 7 + 2x * 7) = 5x + -27
(-21 + 14x) = 5x + -27

Reorder the terms:
-21 + 14x = -27 + 5x

Solving
-21 + 14x = -27 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-21 + 14x + -5x = -27 + 5x + -5x

Combine like terms: 14x + -5x = 9x
-21 + 9x = -27 + 5x + -5x

Combine like terms: 5x + -5x = 0
-21 + 9x = -27 + 0
-21 + 9x = -27

Add '21' to each side of the equation.
-21 + 21 + 9x = -27 + 21

Combine like terms: -21 + 21 = 0
0 + 9x = -27 + 21
9x = -27 + 21

Combine like terms: -27 + 21 = -6
9x = -6

Divide each side by '9'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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