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

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


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

Reorder the terms:
-4(-6 + x) = 2(7 + -7x)
(-6 * -4 + x * -4) = 2(7 + -7x)
(24 + -4x) = 2(7 + -7x)
24 + -4x = (7 * 2 + -7x * 2)
24 + -4x = (14 + -14x)

Solving
24 + -4x = 14 + -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.
24 + -4x + 14x = 14 + -14x + 14x

Combine like terms: -4x + 14x = 10x
24 + 10x = 14 + -14x + 14x

Combine like terms: -14x + 14x = 0
24 + 10x = 14 + 0
24 + 10x = 14

Add '-24' to each side of the equation.
24 + -24 + 10x = 14 + -24

Combine like terms: 24 + -24 = 0
0 + 10x = 14 + -24
10x = 14 + -24

Combine like terms: 14 + -24 = -10
10x = -10

Divide each side by '10'.
x = -1

Simplifying
x = -1

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