2x+10x=8(x-6)-4(1-2x)

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Solution for 2x+10x=8(x-6)-4(1-2x) equation:


Simplifying
2x + 10x = 8(x + -6) + -4(1 + -2x)

Combine like terms: 2x + 10x = 12x
12x = 8(x + -6) + -4(1 + -2x)

Reorder the terms:
12x = 8(-6 + x) + -4(1 + -2x)
12x = (-6 * 8 + x * 8) + -4(1 + -2x)
12x = (-48 + 8x) + -4(1 + -2x)
12x = -48 + 8x + (1 * -4 + -2x * -4)
12x = -48 + 8x + (-4 + 8x)

Reorder the terms:
12x = -48 + -4 + 8x + 8x

Combine like terms: -48 + -4 = -52
12x = -52 + 8x + 8x

Combine like terms: 8x + 8x = 16x
12x = -52 + 16x

Solving
12x = -52 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
12x + -16x = -52 + 16x + -16x

Combine like terms: 12x + -16x = -4x
-4x = -52 + 16x + -16x

Combine like terms: 16x + -16x = 0
-4x = -52 + 0
-4x = -52

Divide each side by '-4'.
x = 13

Simplifying
x = 13

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