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

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


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

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

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

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

Reorder the terms:
3 + 3x = -5 + 5x

Solving
3 + 3x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 3x + -5x = -5 + 5x + -5x

Combine like terms: 3x + -5x = -2x
3 + -2x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -2x = -5 + 0
3 + -2x = -5

Add '-3' to each side of the equation.
3 + -3 + -2x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -5 + -3
-2x = -5 + -3

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

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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