-6(2x-7)=-6(-4x+5)

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Solution for -6(2x-7)=-6(-4x+5) equation:


Simplifying
-6(2x + -7) = -6(-4x + 5)

Reorder the terms:
-6(-7 + 2x) = -6(-4x + 5)
(-7 * -6 + 2x * -6) = -6(-4x + 5)
(42 + -12x) = -6(-4x + 5)

Reorder the terms:
42 + -12x = -6(5 + -4x)
42 + -12x = (5 * -6 + -4x * -6)
42 + -12x = (-30 + 24x)

Solving
42 + -12x = -30 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
42 + -12x + -24x = -30 + 24x + -24x

Combine like terms: -12x + -24x = -36x
42 + -36x = -30 + 24x + -24x

Combine like terms: 24x + -24x = 0
42 + -36x = -30 + 0
42 + -36x = -30

Add '-42' to each side of the equation.
42 + -42 + -36x = -30 + -42

Combine like terms: 42 + -42 = 0
0 + -36x = -30 + -42
-36x = -30 + -42

Combine like terms: -30 + -42 = -72
-36x = -72

Divide each side by '-36'.
x = 2

Simplifying
x = 2

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