-3(5x+9)=7(2x-6)

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Solution for -3(5x+9)=7(2x-6) equation:


Simplifying
-3(5x + 9) = 7(2x + -6)

Reorder the terms:
-3(9 + 5x) = 7(2x + -6)
(9 * -3 + 5x * -3) = 7(2x + -6)
(-27 + -15x) = 7(2x + -6)

Reorder the terms:
-27 + -15x = 7(-6 + 2x)
-27 + -15x = (-6 * 7 + 2x * 7)
-27 + -15x = (-42 + 14x)

Solving
-27 + -15x = -42 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-27 + -15x + -14x = -42 + 14x + -14x

Combine like terms: -15x + -14x = -29x
-27 + -29x = -42 + 14x + -14x

Combine like terms: 14x + -14x = 0
-27 + -29x = -42 + 0
-27 + -29x = -42

Add '27' to each side of the equation.
-27 + 27 + -29x = -42 + 27

Combine like terms: -27 + 27 = 0
0 + -29x = -42 + 27
-29x = -42 + 27

Combine like terms: -42 + 27 = -15
-29x = -15

Divide each side by '-29'.
x = 0.5172413793

Simplifying
x = 0.5172413793

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