8(x-1)+10=2(x+3)

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Solution for 8(x-1)+10=2(x+3) equation:


Simplifying
8(x + -1) + 10 = 2(x + 3)

Reorder the terms:
8(-1 + x) + 10 = 2(x + 3)
(-1 * 8 + x * 8) + 10 = 2(x + 3)
(-8 + 8x) + 10 = 2(x + 3)

Reorder the terms:
-8 + 10 + 8x = 2(x + 3)

Combine like terms: -8 + 10 = 2
2 + 8x = 2(x + 3)

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

Solving
2 + 8x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 8x + -2x = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
2 + 6x = 6 + 0
2 + 6x = 6

Add '-2' to each side of the equation.
2 + -2 + 6x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 6 + -2
6x = 6 + -2

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

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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