-4(x-3)=-2(-1+7x)

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Solution for -4(x-3)=-2(-1+7x) equation:


Simplifying
-4(x + -3) = -2(-1 + 7x)

Reorder the terms:
-4(-3 + x) = -2(-1 + 7x)
(-3 * -4 + x * -4) = -2(-1 + 7x)
(12 + -4x) = -2(-1 + 7x)
12 + -4x = (-1 * -2 + 7x * -2)
12 + -4x = (2 + -14x)

Solving
12 + -4x = 2 + -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.
12 + -4x + 14x = 2 + -14x + 14x

Combine like terms: -4x + 14x = 10x
12 + 10x = 2 + -14x + 14x

Combine like terms: -14x + 14x = 0
12 + 10x = 2 + 0
12 + 10x = 2

Add '-12' to each side of the equation.
12 + -12 + 10x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = 2 + -12
10x = 2 + -12

Combine like terms: 2 + -12 = -10
10x = -10

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

Simplifying
x = -1

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