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

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


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

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

Reorder the terms:
-3 + 8x = 5(-3 + x) + -3x
-3 + 8x = (-3 * 5 + x * 5) + -3x
-3 + 8x = (-15 + 5x) + -3x

Combine like terms: 5x + -3x = 2x
-3 + 8x = -15 + 2x

Solving
-3 + 8x = -15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 8x + -2x = -15 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-3 + 6x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 6x = -15 + 0
-3 + 6x = -15

Add '3' to each side of the equation.
-3 + 3 + 6x = -15 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = -15 + 3
6x = -15 + 3

Combine like terms: -15 + 3 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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