8(x-3)+6(x+4)=2(x-1)-8(x-1)

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Solution for 8(x-3)+6(x+4)=2(x-1)-8(x-1) equation:


Simplifying
8(x + -3) + 6(x + 4) = 2(x + -1) + -8(x + -1)

Reorder the terms:
8(-3 + x) + 6(x + 4) = 2(x + -1) + -8(x + -1)
(-3 * 8 + x * 8) + 6(x + 4) = 2(x + -1) + -8(x + -1)
(-24 + 8x) + 6(x + 4) = 2(x + -1) + -8(x + -1)

Reorder the terms:
-24 + 8x + 6(4 + x) = 2(x + -1) + -8(x + -1)
-24 + 8x + (4 * 6 + x * 6) = 2(x + -1) + -8(x + -1)
-24 + 8x + (24 + 6x) = 2(x + -1) + -8(x + -1)

Reorder the terms:
-24 + 24 + 8x + 6x = 2(x + -1) + -8(x + -1)

Combine like terms: -24 + 24 = 0
0 + 8x + 6x = 2(x + -1) + -8(x + -1)
8x + 6x = 2(x + -1) + -8(x + -1)

Combine like terms: 8x + 6x = 14x
14x = 2(x + -1) + -8(x + -1)

Reorder the terms:
14x = 2(-1 + x) + -8(x + -1)
14x = (-1 * 2 + x * 2) + -8(x + -1)
14x = (-2 + 2x) + -8(x + -1)

Reorder the terms:
14x = -2 + 2x + -8(-1 + x)
14x = -2 + 2x + (-1 * -8 + x * -8)
14x = -2 + 2x + (8 + -8x)

Reorder the terms:
14x = -2 + 8 + 2x + -8x

Combine like terms: -2 + 8 = 6
14x = 6 + 2x + -8x

Combine like terms: 2x + -8x = -6x
14x = 6 + -6x

Solving
14x = 6 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
14x + 6x = 6 + -6x + 6x

Combine like terms: 14x + 6x = 20x
20x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
20x = 6 + 0
20x = 6

Divide each side by '20'.
x = 0.3

Simplifying
x = 0.3

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