2(3x-3)-3=2(x-5)+13

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Solution for 2(3x-3)-3=2(x-5)+13 equation:


Simplifying
2(3x + -3) + -3 = 2(x + -5) + 13

Reorder the terms:
2(-3 + 3x) + -3 = 2(x + -5) + 13
(-3 * 2 + 3x * 2) + -3 = 2(x + -5) + 13
(-6 + 6x) + -3 = 2(x + -5) + 13

Reorder the terms:
-6 + -3 + 6x = 2(x + -5) + 13

Combine like terms: -6 + -3 = -9
-9 + 6x = 2(x + -5) + 13

Reorder the terms:
-9 + 6x = 2(-5 + x) + 13
-9 + 6x = (-5 * 2 + x * 2) + 13
-9 + 6x = (-10 + 2x) + 13

Reorder the terms:
-9 + 6x = -10 + 13 + 2x

Combine like terms: -10 + 13 = 3
-9 + 6x = 3 + 2x

Solving
-9 + 6x = 3 + 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.
-9 + 6x + -2x = 3 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-9 + 4x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 4x = 3 + 0
-9 + 4x = 3

Add '9' to each side of the equation.
-9 + 9 + 4x = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 3 + 9
4x = 3 + 9

Combine like terms: 3 + 9 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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