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

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


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

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

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

Combine like terms: -15 + -3 = -18
-18 + 5x = 2x + -6(2 + -1x)
-18 + 5x = 2x + (2 * -6 + -1x * -6)
-18 + 5x = 2x + (-12 + 6x)

Reorder the terms:
-18 + 5x = -12 + 2x + 6x

Combine like terms: 2x + 6x = 8x
-18 + 5x = -12 + 8x

Solving
-18 + 5x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-18 + 5x + -8x = -12 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-18 + -3x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-18 + -3x = -12 + 0
-18 + -3x = -12

Add '18' to each side of the equation.
-18 + 18 + -3x = -12 + 18

Combine like terms: -18 + 18 = 0
0 + -3x = -12 + 18
-3x = -12 + 18

Combine like terms: -12 + 18 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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