5(x-3)-6=3x-(2x-3)

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Solution for 5(x-3)-6=3x-(2x-3) equation:


Simplifying
5(x + -3) + -6 = 3x + -1(2x + -3)

Reorder the terms:
5(-3 + x) + -6 = 3x + -1(2x + -3)
(-3 * 5 + x * 5) + -6 = 3x + -1(2x + -3)
(-15 + 5x) + -6 = 3x + -1(2x + -3)

Reorder the terms:
-15 + -6 + 5x = 3x + -1(2x + -3)

Combine like terms: -15 + -6 = -21
-21 + 5x = 3x + -1(2x + -3)

Reorder the terms:
-21 + 5x = 3x + -1(-3 + 2x)
-21 + 5x = 3x + (-3 * -1 + 2x * -1)
-21 + 5x = 3x + (3 + -2x)

Reorder the terms:
-21 + 5x = 3 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-21 + 5x = 3 + 1x

Solving
-21 + 5x = 3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-21 + 5x + -1x = 3 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-21 + 4x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
-21 + 4x = 3 + 0
-21 + 4x = 3

Add '21' to each side of the equation.
-21 + 21 + 4x = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 4x = 3 + 21
4x = 3 + 21

Combine like terms: 3 + 21 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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