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

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


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

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

Reorder the terms:
-16 + 6 + 8x = 6(x + 3) + x

Combine like terms: -16 + 6 = -10
-10 + 8x = 6(x + 3) + x

Reorder the terms:
-10 + 8x = 6(3 + x) + x
-10 + 8x = (3 * 6 + x * 6) + x
-10 + 8x = (18 + 6x) + x

Combine like terms: 6x + x = 7x
-10 + 8x = 18 + 7x

Solving
-10 + 8x = 18 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-10 + 8x + -7x = 18 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-10 + 1x = 18 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + 1x = 18 + 0
-10 + 1x = 18

Add '10' to each side of the equation.
-10 + 10 + 1x = 18 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 18 + 10
1x = 18 + 10

Combine like terms: 18 + 10 = 28
1x = 28

Divide each side by '1'.
x = 28

Simplifying
x = 28

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