7(6-4x)+5(x-3)=27

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Solution for 7(6-4x)+5(x-3)=27 equation: 


Simplifying
7(6 + -4x) + 5(x + -3) = 27
(6 * 7 + -4x * 7) + 5(x + -3) = 27
(42 + -28x) + 5(x + -3) = 27

Reorder the terms:
42 + -28x + 5(-3 + x) = 27
42 + -28x + (-3 * 5 + x * 5) = 27
42 + -28x + (-15 + 5x) = 27

Reorder the terms:
42 + -15 + -28x + 5x = 27

Combine like terms: 42 + -15 = 27
27 + -28x + 5x = 27

Combine like terms: -28x + 5x = -23x
27 + -23x = 27

Add '-27' to each side of the equation.
27 + -27 + -23x = 27 + -27

Combine like terms: 27 + -27 = 0
0 + -23x = 27 + -27
-23x = 27 + -27

Combine like terms: 27 + -27 = 0
-23x = 0

Solving
-23x = 0

Solving for variable 'x'.

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

Divide each side by '-23'.
x = 0

Simplifying
x = 0

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