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

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


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

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

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

Reorder the terms:
8x = 4 + -6 + 4x + 6x

Combine like terms: 4 + -6 = -2
8x = -2 + 4x + 6x

Combine like terms: 4x + 6x = 10x
8x = -2 + 10x

Solving
8x = -2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8x + -10x = -2 + 10x + -10x

Combine like terms: 8x + -10x = -2x
-2x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-2x = -2 + 0
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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