(x-3)-(x+4)=8x

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Solution for (x-3)-(x+4)=8x equation:


Simplifying
(x + -3) + -1(x + 4) = 8x

Reorder the terms:
(-3 + x) + -1(x + 4) = 8x

Remove parenthesis around (-3 + x)
-3 + x + -1(x + 4) = 8x

Reorder the terms:
-3 + x + -1(4 + x) = 8x
-3 + x + (4 * -1 + x * -1) = 8x
-3 + x + (-4 + -1x) = 8x

Reorder the terms:
-3 + -4 + x + -1x = 8x

Combine like terms: -3 + -4 = -7
-7 + x + -1x = 8x

Combine like terms: x + -1x = 0
-7 + 0 = 8x
-7 = 8x

Solving
-7 = 8x

Solving for variable 'x'.

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

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

Combine like terms: 8x + -8x = 0
-7 + -8x = 0

Add '7' to each side of the equation.
-7 + 7 + -8x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8x = 0 + 7
-8x = 0 + 7

Combine like terms: 0 + 7 = 7
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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