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

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


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

Reorder the terms:
2(-7 + x) = -4 + 6(4 + 6x)
(-7 * 2 + x * 2) = -4 + 6(4 + 6x)
(-14 + 2x) = -4 + 6(4 + 6x)
-14 + 2x = -4 + (4 * 6 + 6x * 6)
-14 + 2x = -4 + (24 + 36x)

Combine like terms: -4 + 24 = 20
-14 + 2x = 20 + 36x

Solving
-14 + 2x = 20 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-14 + 2x + -36x = 20 + 36x + -36x

Combine like terms: 2x + -36x = -34x
-14 + -34x = 20 + 36x + -36x

Combine like terms: 36x + -36x = 0
-14 + -34x = 20 + 0
-14 + -34x = 20

Add '14' to each side of the equation.
-14 + 14 + -34x = 20 + 14

Combine like terms: -14 + 14 = 0
0 + -34x = 20 + 14
-34x = 20 + 14

Combine like terms: 20 + 14 = 34
-34x = 34

Divide each side by '-34'.
x = -1

Simplifying
x = -1

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