5(x-3)-3=-3(-7x+7)-7x

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Solution for 5(x-3)-3=-3(-7x+7)-7x equation:


Simplifying
5(x + -3) + -3 = -3(-7x + 7) + -7x

Reorder the terms:
5(-3 + x) + -3 = -3(-7x + 7) + -7x
(-3 * 5 + x * 5) + -3 = -3(-7x + 7) + -7x
(-15 + 5x) + -3 = -3(-7x + 7) + -7x

Reorder the terms:
-15 + -3 + 5x = -3(-7x + 7) + -7x

Combine like terms: -15 + -3 = -18
-18 + 5x = -3(-7x + 7) + -7x

Reorder the terms:
-18 + 5x = -3(7 + -7x) + -7x
-18 + 5x = (7 * -3 + -7x * -3) + -7x
-18 + 5x = (-21 + 21x) + -7x

Combine like terms: 21x + -7x = 14x
-18 + 5x = -21 + 14x

Solving
-18 + 5x = -21 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-18 + 5x + -14x = -21 + 14x + -14x

Combine like terms: 5x + -14x = -9x
-18 + -9x = -21 + 14x + -14x

Combine like terms: 14x + -14x = 0
-18 + -9x = -21 + 0
-18 + -9x = -21

Add '18' to each side of the equation.
-18 + 18 + -9x = -21 + 18

Combine like terms: -18 + 18 = 0
0 + -9x = -21 + 18
-9x = -21 + 18

Combine like terms: -21 + 18 = -3
-9x = -3

Divide each side by '-9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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