(8x-5)-(3x-10)=35

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Solution for (8x-5)-(3x-10)=35 equation:


Simplifying
(8x + -5) + -1(3x + -10) = 35

Reorder the terms:
(-5 + 8x) + -1(3x + -10) = 35

Remove parenthesis around (-5 + 8x)
-5 + 8x + -1(3x + -10) = 35

Reorder the terms:
-5 + 8x + -1(-10 + 3x) = 35
-5 + 8x + (-10 * -1 + 3x * -1) = 35
-5 + 8x + (10 + -3x) = 35

Reorder the terms:
-5 + 10 + 8x + -3x = 35

Combine like terms: -5 + 10 = 5
5 + 8x + -3x = 35

Combine like terms: 8x + -3x = 5x
5 + 5x = 35

Solving
5 + 5x = 35

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 5x = 35 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 35 + -5
5x = 35 + -5

Combine like terms: 35 + -5 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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