8+3x-6=3(2-4x)+4(4x-2)

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Solution for 8+3x-6=3(2-4x)+4(4x-2) equation:


Simplifying
8 + 3x + -6 = 3(2 + -4x) + 4(4x + -2)

Reorder the terms:
8 + -6 + 3x = 3(2 + -4x) + 4(4x + -2)

Combine like terms: 8 + -6 = 2
2 + 3x = 3(2 + -4x) + 4(4x + -2)
2 + 3x = (2 * 3 + -4x * 3) + 4(4x + -2)
2 + 3x = (6 + -12x) + 4(4x + -2)

Reorder the terms:
2 + 3x = 6 + -12x + 4(-2 + 4x)
2 + 3x = 6 + -12x + (-2 * 4 + 4x * 4)
2 + 3x = 6 + -12x + (-8 + 16x)

Reorder the terms:
2 + 3x = 6 + -8 + -12x + 16x

Combine like terms: 6 + -8 = -2
2 + 3x = -2 + -12x + 16x

Combine like terms: -12x + 16x = 4x
2 + 3x = -2 + 4x

Solving
2 + 3x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 3x + -4x = -2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
2 + -1x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -1x = -2 + 0
2 + -1x = -2

Add '-2' to each side of the equation.
2 + -2 + -1x = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -2 + -2
-1x = -2 + -2

Combine like terms: -2 + -2 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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