(x-8)-(x+3)=7x

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Solution for (x-8)-(x+3)=7x equation:


Simplifying
(x + -8) + -1(x + 3) = 7x

Reorder the terms:
(-8 + x) + -1(x + 3) = 7x

Remove parenthesis around (-8 + x)
-8 + x + -1(x + 3) = 7x

Reorder the terms:
-8 + x + -1(3 + x) = 7x
-8 + x + (3 * -1 + x * -1) = 7x
-8 + x + (-3 + -1x) = 7x

Reorder the terms:
-8 + -3 + x + -1x = 7x

Combine like terms: -8 + -3 = -11
-11 + x + -1x = 7x

Combine like terms: x + -1x = 0
-11 + 0 = 7x
-11 = 7x

Solving
-11 = 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.
-11 + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + -7x = 0

Add '11' to each side of the equation.
-11 + 11 + -7x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -7x = 0 + 11
-7x = 0 + 11

Combine like terms: 0 + 11 = 11
-7x = 11

Divide each side by '-7'.
x = -1.571428571

Simplifying
x = -1.571428571

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