6-7(x-2)=8+x

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Solution for 6-7(x-2)=8+x equation:


Simplifying
6 + -7(x + -2) = 8 + x

Reorder the terms:
6 + -7(-2 + x) = 8 + x
6 + (-2 * -7 + x * -7) = 8 + x
6 + (14 + -7x) = 8 + x

Combine like terms: 6 + 14 = 20
20 + -7x = 8 + x

Solving
20 + -7x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
20 + -7x + -1x = 8 + x + -1x

Combine like terms: -7x + -1x = -8x
20 + -8x = 8 + x + -1x

Combine like terms: x + -1x = 0
20 + -8x = 8 + 0
20 + -8x = 8

Add '-20' to each side of the equation.
20 + -20 + -8x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = 8 + -20
-8x = 8 + -20

Combine like terms: 8 + -20 = -12
-8x = -12

Divide each side by '-8'.
x = 1.5

Simplifying
x = 1.5

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