8x-(3x+5)=3(2x-1)

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Solution for 8x-(3x+5)=3(2x-1) equation:


Simplifying
8x + -1(3x + 5) = 3(2x + -1)

Reorder the terms:
8x + -1(5 + 3x) = 3(2x + -1)
8x + (5 * -1 + 3x * -1) = 3(2x + -1)
8x + (-5 + -3x) = 3(2x + -1)

Reorder the terms:
-5 + 8x + -3x = 3(2x + -1)

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

Reorder the terms:
-5 + 5x = 3(-1 + 2x)
-5 + 5x = (-1 * 3 + 2x * 3)
-5 + 5x = (-3 + 6x)

Solving
-5 + 5x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 5x + -6x = -3 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-5 + -1x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -1x = -3 + 0
-5 + -1x = -3

Add '5' to each side of the equation.
-5 + 5 + -1x = -3 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -3 + 5
-1x = -3 + 5

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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