12(6x-5)=7(-4x-5)

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Solution for 12(6x-5)=7(-4x-5) equation:


Simplifying
12(6x + -5) = 7(-4x + -5)

Reorder the terms:
12(-5 + 6x) = 7(-4x + -5)
(-5 * 12 + 6x * 12) = 7(-4x + -5)
(-60 + 72x) = 7(-4x + -5)

Reorder the terms:
-60 + 72x = 7(-5 + -4x)
-60 + 72x = (-5 * 7 + -4x * 7)
-60 + 72x = (-35 + -28x)

Solving
-60 + 72x = -35 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
-60 + 72x + 28x = -35 + -28x + 28x

Combine like terms: 72x + 28x = 100x
-60 + 100x = -35 + -28x + 28x

Combine like terms: -28x + 28x = 0
-60 + 100x = -35 + 0
-60 + 100x = -35

Add '60' to each side of the equation.
-60 + 60 + 100x = -35 + 60

Combine like terms: -60 + 60 = 0
0 + 100x = -35 + 60
100x = -35 + 60

Combine like terms: -35 + 60 = 25
100x = 25

Divide each side by '100'.
x = 0.25

Simplifying
x = 0.25

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