8(x-2)=-6(x+1)+16

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Solution for 8(x-2)=-6(x+1)+16 equation:


Simplifying
8(x + -2) = -6(x + 1) + 16

Reorder the terms:
8(-2 + x) = -6(x + 1) + 16
(-2 * 8 + x * 8) = -6(x + 1) + 16
(-16 + 8x) = -6(x + 1) + 16

Reorder the terms:
-16 + 8x = -6(1 + x) + 16
-16 + 8x = (1 * -6 + x * -6) + 16
-16 + 8x = (-6 + -6x) + 16

Reorder the terms:
-16 + 8x = -6 + 16 + -6x

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

Solving
-16 + 8x = 10 + -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.
-16 + 8x + 6x = 10 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-16 + 14x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
-16 + 14x = 10 + 0
-16 + 14x = 10

Add '16' to each side of the equation.
-16 + 16 + 14x = 10 + 16

Combine like terms: -16 + 16 = 0
0 + 14x = 10 + 16
14x = 10 + 16

Combine like terms: 10 + 16 = 26
14x = 26

Divide each side by '14'.
x = 1.857142857

Simplifying
x = 1.857142857

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