-2-6(1+4x)=-8(7x-4)-8x

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Solution for -2-6(1+4x)=-8(7x-4)-8x equation:


Simplifying
-2 + -6(1 + 4x) = -8(7x + -4) + -8x
-2 + (1 * -6 + 4x * -6) = -8(7x + -4) + -8x
-2 + (-6 + -24x) = -8(7x + -4) + -8x

Combine like terms: -2 + -6 = -8
-8 + -24x = -8(7x + -4) + -8x

Reorder the terms:
-8 + -24x = -8(-4 + 7x) + -8x
-8 + -24x = (-4 * -8 + 7x * -8) + -8x
-8 + -24x = (32 + -56x) + -8x

Combine like terms: -56x + -8x = -64x
-8 + -24x = 32 + -64x

Solving
-8 + -24x = 32 + -64x

Solving for variable 'x'.

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

Add '64x' to each side of the equation.
-8 + -24x + 64x = 32 + -64x + 64x

Combine like terms: -24x + 64x = 40x
-8 + 40x = 32 + -64x + 64x

Combine like terms: -64x + 64x = 0
-8 + 40x = 32 + 0
-8 + 40x = 32

Add '8' to each side of the equation.
-8 + 8 + 40x = 32 + 8

Combine like terms: -8 + 8 = 0
0 + 40x = 32 + 8
40x = 32 + 8

Combine like terms: 32 + 8 = 40
40x = 40

Divide each side by '40'.
x = 1

Simplifying
x = 1

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