8x-1-5x-7=2x+r-x

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Solution for 8x-1-5x-7=2x+r-x equation:


Simplifying
8x + -1 + -5x + -7 = 2x + r + -1x

Reorder the terms:
-1 + -7 + 8x + -5x = 2x + r + -1x

Combine like terms: -1 + -7 = -8
-8 + 8x + -5x = 2x + r + -1x

Combine like terms: 8x + -5x = 3x
-8 + 3x = 2x + r + -1x

Reorder the terms:
-8 + 3x = r + 2x + -1x

Combine like terms: 2x + -1x = 1x
-8 + 3x = r + 1x

Solving
-8 + 3x = r + 1x

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.
-8 + 3x + -1x = r + 1x + -1x

Combine like terms: 3x + -1x = 2x
-8 + 2x = r + 1x + -1x

Combine like terms: 1x + -1x = 0
-8 + 2x = r + 0
-8 + 2x = r

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

Combine like terms: -8 + 8 = 0
0 + 2x = 8 + r
2x = 8 + r

Divide each side by '2'.
x = 4 + 0.5r

Simplifying
x = 4 + 0.5r

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