2(x-3)-3=7-7x

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Solution for 2(x-3)-3=7-7x equation:


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

Reorder the terms:
2(-3 + x) + -3 = 7 + -7x
(-3 * 2 + x * 2) + -3 = 7 + -7x
(-6 + 2x) + -3 = 7 + -7x

Reorder the terms:
-6 + -3 + 2x = 7 + -7x

Combine like terms: -6 + -3 = -9
-9 + 2x = 7 + -7x

Solving
-9 + 2x = 7 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-9 + 2x + 7x = 7 + -7x + 7x

Combine like terms: 2x + 7x = 9x
-9 + 9x = 7 + -7x + 7x

Combine like terms: -7x + 7x = 0
-9 + 9x = 7 + 0
-9 + 9x = 7

Add '9' to each side of the equation.
-9 + 9 + 9x = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 9x = 7 + 9
9x = 7 + 9

Combine like terms: 7 + 9 = 16
9x = 16

Divide each side by '9'.
x = 1.777777778

Simplifying
x = 1.777777778

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